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Finding the Fourth Proportional to 56,727, 78,283.26 and 31,578.12

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Solution

The fourth proportional to 56,727, 78,283.26 and 31,578.12 is: 43,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,727 : 78,283.26 = 31,578.12 : x
  2. Step 2: Convert to fraction form
    56,727/78,283.26 = 31,578.12/x
  3. Step 3: Cross multiply
    56,727x = 78,283.26 × 31,578.12
  4. Step 4: Simplify right side
    56,727x = 2,472,038,178.27
  5. Step 5: Solve for x
    x = 2,472,038,178.27/56,727
  6. Step 6: Final answer
    x = 43,577.81

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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.