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Finding the Fourth Proportional to 47,398.48, 71,101.50 and 16,234

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Solution

The fourth proportional to 47,398.48, 71,101.50 and 16,234 is: 24,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,398.48 : 71,101.50 = 16,234 : x
  2. Step 2: Convert to fraction form
    47,398.48/71,101.50 = 16,234/x
  3. Step 3: Cross multiply
    47,398.48x = 71,101.50 × 16,234
  4. Step 4: Simplify right side
    47,398.48x = 1,154,261,751
  5. Step 5: Solve for x
    x = 1,154,261,751/47,398.48
  6. Step 6: Final answer
    x = 24,352.29

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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.