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Finding the Fourth Proportional to 38,693.50, 58,042.07 and 12,398.47

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Solution

The fourth proportional to 38,693.50, 58,042.07 and 12,398.47 is: 18,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,693.50 : 58,042.07 = 12,398.47 : x
  2. Step 2: Convert to fraction form
    38,693.50/58,042.07 = 12,398.47/x
  3. Step 3: Cross multiply
    38,693.50x = 58,042.07 × 12,398.47
  4. Step 4: Simplify right side
    38,693.50x = 719,632,703.03
  5. Step 5: Solve for x
    x = 719,632,703.03/38,693.50
  6. Step 6: Final answer
    x = 18,598.29

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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.