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Finding the Fourth Proportional to 42,160.25, 63,234 and 15,858.88

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Solution

The fourth proportional to 42,160.25, 63,234 and 15,858.88 is: 23,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,160.25 : 63,234 = 15,858.88 : x
  2. Step 2: Convert to fraction form
    42,160.25/63,234 = 15,858.88/x
  3. Step 3: Cross multiply
    42,160.25x = 63,234 × 15,858.88
  4. Step 4: Simplify right side
    42,160.25x = 1,002,820,259.84
  5. Step 5: Solve for x
    x = 1,002,820,259.84/42,160.25
  6. Step 6: Final answer
    x = 23,785.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.