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Finding the Fourth Proportional to 42,469.32, 63,627.66 and 23,727

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Solution

The fourth proportional to 42,469.32, 63,627.66 and 23,727 is: 35,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,469.32 : 63,627.66 = 23,727 : x
  2. Step 2: Convert to fraction form
    42,469.32/63,627.66 = 23,727/x
  3. Step 3: Cross multiply
    42,469.32x = 63,627.66 × 23,727
  4. Step 4: Simplify right side
    42,469.32x = 1,509,693,488.82
  5. Step 5: Solve for x
    x = 1,509,693,488.82/42,469.32
  6. Step 6: Final answer
    x = 35,547.86

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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.