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Finding the Fourth Proportional to 39,384, 59,042.88 and 16,027.20

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Solution

The fourth proportional to 39,384, 59,042.88 and 16,027.20 is: 24,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,384 : 59,042.88 = 16,027.20 : x
  2. Step 2: Convert to fraction form
    39,384/59,042.88 = 16,027.20/x
  3. Step 3: Cross multiply
    39,384x = 59,042.88 × 16,027.20
  4. Step 4: Simplify right side
    39,384x = 946,292,046.34
  5. Step 5: Solve for x
    x = 946,292,046.34/39,384
  6. Step 6: Final answer
    x = 24,027.32

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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.