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Finding the Fourth Proportional to 56,780, 78,356.40 and 31,631.12

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Solution

The fourth proportional to 56,780, 78,356.40 and 31,631.12 is: 43,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,780 : 78,356.40 = 31,631.12 : x
  2. Step 2: Convert to fraction form
    56,780/78,356.40 = 31,631.12/x
  3. Step 3: Cross multiply
    56,780x = 78,356.40 × 31,631.12
  4. Step 4: Simplify right side
    56,780x = 2,478,500,691.17
  5. Step 5: Solve for x
    x = 2,478,500,691.17/56,780
  6. Step 6: Final answer
    x = 43,650.95

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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.