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Finding the Fourth Proportional to 56,634.54, 78,155.96 and 31,142.55

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Solution

The fourth proportional to 56,634.54, 78,155.96 and 31,142.55 is: 42,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,634.54 : 78,155.96 = 31,142.55 : x
  2. Step 2: Convert to fraction form
    56,634.54/78,155.96 = 31,142.55/x
  3. Step 3: Cross multiply
    56,634.54x = 78,155.96 × 31,142.55
  4. Step 4: Simplify right side
    56,634.54x = 2,433,975,809.66
  5. Step 5: Solve for x
    x = 2,433,975,809.66/56,634.54
  6. Step 6: Final answer
    x = 42,976.88

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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.