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Finding the Fourth Proportional to 56,665.92, 78,197.92 and 31,515.20

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Solution

The fourth proportional to 56,665.92, 78,197.92 and 31,515.20 is: 43,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,665.92 : 78,197.92 = 31,515.20 : x
  2. Step 2: Convert to fraction form
    56,665.92/78,197.92 = 31,515.20/x
  3. Step 3: Cross multiply
    56,665.92x = 78,197.92 × 31,515.20
  4. Step 4: Simplify right side
    56,665.92x = 2,464,423,088.38
  5. Step 5: Solve for x
    x = 2,464,423,088.38/56,665.92
  6. Step 6: Final answer
    x = 43,490.39

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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.