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Finding the Fourth Proportional to 56,637.40, 78,180.82 and 42,531

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Solution

The fourth proportional to 56,637.40, 78,180.82 and 42,531 is: 58,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,637.40 : 78,180.82 = 42,531 : x
  2. Step 2: Convert to fraction form
    56,637.40/78,180.82 = 42,531/x
  3. Step 3: Cross multiply
    56,637.40x = 78,180.82 × 42,531
  4. Step 4: Simplify right side
    56,637.40x = 3,325,108,455.42
  5. Step 5: Solve for x
    x = 3,325,108,455.42/56,637.40
  6. Step 6: Final answer
    x = 58,708.71

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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.