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Finding the Fourth Proportional to 83,594.16, 125,391.24 and 42,012

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Solution

The fourth proportional to 83,594.16, 125,391.24 and 42,012 is: 63,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.16 : 125,391.24 = 42,012 : x
  2. Step 2: Convert to fraction form
    83,594.16/125,391.24 = 42,012/x
  3. Step 3: Cross multiply
    83,594.16x = 125,391.24 × 42,012
  4. Step 4: Simplify right side
    83,594.16x = 5,267,936,774.88
  5. Step 5: Solve for x
    x = 5,267,936,774.88/83,594.16
  6. Step 6: Final answer
    x = 63,018

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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.