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Finding the Fourth Proportional to 42,049, 63,073.50 and 17,102.62

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Solution

The fourth proportional to 42,049, 63,073.50 and 17,102.62 is: 25,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,049 : 63,073.50 = 17,102.62 : x
  2. Step 2: Convert to fraction form
    42,049/63,073.50 = 17,102.62/x
  3. Step 3: Cross multiply
    42,049x = 63,073.50 × 17,102.62
  4. Step 4: Simplify right side
    42,049x = 1,078,722,102.57
  5. Step 5: Solve for x
    x = 1,078,722,102.57/42,049
  6. Step 6: Final answer
    x = 25,653.93

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Why These Related Problems?

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