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Finding the Fourth Proportional to 56,244.12, 77,613.84 and 31,092

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Solution

The fourth proportional to 56,244.12, 77,613.84 and 31,092 is: 42,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,244.12 : 77,613.84 = 31,092 : x
  2. Step 2: Convert to fraction form
    56,244.12/77,613.84 = 31,092/x
  3. Step 3: Cross multiply
    56,244.12x = 77,613.84 × 31,092
  4. Step 4: Simplify right side
    56,244.12x = 2,413,169,513.28
  5. Step 5: Solve for x
    x = 2,413,169,513.28/56,244.12
  6. Step 6: Final answer
    x = 42,905.28

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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.