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Finding the Fourth Proportional to 56,359.50, 77,781.78 and 31,209

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Solution

The fourth proportional to 56,359.50, 77,781.78 and 31,209 is: 43,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,359.50 : 77,781.78 = 31,209 : x
  2. Step 2: Convert to fraction form
    56,359.50/77,781.78 = 31,209/x
  3. Step 3: Cross multiply
    56,359.50x = 77,781.78 × 31,209
  4. Step 4: Simplify right side
    56,359.50x = 2,427,491,572.02
  5. Step 5: Solve for x
    x = 2,427,491,572.02/56,359.50
  6. Step 6: Final answer
    x = 43,071.56

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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.