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Finding the Fourth Proportional to 56,302.50, 77,698.17 and 31,151.46

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Solution

The fourth proportional to 56,302.50, 77,698.17 and 31,151.46 is: 42,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302.50 : 77,698.17 = 31,151.46 : x
  2. Step 2: Convert to fraction form
    56,302.50/77,698.17 = 31,151.46/x
  3. Step 3: Cross multiply
    56,302.50x = 77,698.17 × 31,151.46
  4. Step 4: Simplify right side
    56,302.50x = 2,420,411,434.83
  5. Step 5: Solve for x
    x = 2,420,411,434.83/56,302.50
  6. Step 6: Final answer
    x = 42,989.41

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