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Finding the Fourth Proportional to 31,834,501.58, 47,751,752.37 and 31,834,501.58

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Solution

The fourth proportional to 31,834,501.58, 47,751,752.37 and 31,834,501.58 is: 47,751,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834,501.58 : 47,751,752.37 = 31,834,501.58 : x
  2. Step 2: Convert to fraction form
    31,834,501.58/47,751,752.37 = 31,834,501.58/x
  3. Step 3: Cross multiply
    31,834,501.58x = 47,751,752.37 × 31,834,501.58
  4. Step 4: Simplify right side
    31,834,501.58x = 1,520,153,235,872,602.50
  5. Step 5: Solve for x
    x = 1,520,153,235,872,602.50/31,834,501.58
  6. Step 6: Final answer
    x = 47,751,752.37

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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.