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Finding the Fourth Proportional to 31,831,567.95, 47,747,351.93 and 31,831,567.95

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Solution

The fourth proportional to 31,831,567.95, 47,747,351.93 and 31,831,567.95 is: 47,747,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831,567.95 : 47,747,351.93 = 31,831,567.95 : x
  2. Step 2: Convert to fraction form
    31,831,567.95/47,747,351.93 = 31,831,567.95/x
  3. Step 3: Cross multiply
    31,831,567.95x = 47,747,351.93 × 31,831,567.95
  4. Step 4: Simplify right side
    31,831,567.95x = 1,519,873,077,233,200.75
  5. Step 5: Solve for x
    x = 1,519,873,077,233,200.75/31,831,567.95
  6. Step 6: Final answer
    x = 47,747,351.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.