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Finding the Fourth Proportional to 51,468.87, 71,038.11 and 31,332.39

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Solution

The fourth proportional to 51,468.87, 71,038.11 and 31,332.39 is: 43,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,468.87 : 71,038.11 = 31,332.39 : x
  2. Step 2: Convert to fraction form
    51,468.87/71,038.11 = 31,332.39/x
  3. Step 3: Cross multiply
    51,468.87x = 71,038.11 × 31,332.39
  4. Step 4: Simplify right side
    51,468.87x = 2,225,793,767.38
  5. Step 5: Solve for x
    x = 2,225,793,767.38/51,468.87
  6. Step 6: Final answer
    x = 43,245.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.