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Finding the Fourth Proportional to 31,831,669.65, 47,747,504.48 and 31,831,669.65

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Solution

The fourth proportional to 31,831,669.65, 47,747,504.48 and 31,831,669.65 is: 47,747,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831,669.65 : 47,747,504.48 = 31,831,669.65 : x
  2. Step 2: Convert to fraction form
    31,831,669.65/47,747,504.48 = 31,831,669.65/x
  3. Step 3: Cross multiply
    31,831,669.65x = 47,747,504.48 × 31,831,669.65
  4. Step 4: Simplify right side
    31,831,669.65x = 1,519,882,789,060,096.75
  5. Step 5: Solve for x
    x = 1,519,882,789,060,096.75/31,831,669.65
  6. Step 6: Final answer
    x = 47,747,504.48

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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.