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Finding the Fourth Proportional to 56,566, 78,062.70 and 31,417.12

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Solution

The fourth proportional to 56,566, 78,062.70 and 31,417.12 is: 43,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,566 : 78,062.70 = 31,417.12 : x
  2. Step 2: Convert to fraction form
    56,566/78,062.70 = 31,417.12/x
  3. Step 3: Cross multiply
    56,566x = 78,062.70 × 31,417.12
  4. Step 4: Simplify right side
    56,566x = 2,452,505,213.42
  5. Step 5: Solve for x
    x = 2,452,505,213.42/56,566
  6. Step 6: Final answer
    x = 43,356.53

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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.