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Finding the Fourth Proportional to 101,930.34, 152,897.13 and 38,751.42

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Solution

The fourth proportional to 101,930.34, 152,897.13 and 38,751.42 is: 58,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,930.34 : 152,897.13 = 38,751.42 : x
  2. Step 2: Convert to fraction form
    101,930.34/152,897.13 = 38,751.42/x
  3. Step 3: Cross multiply
    101,930.34x = 152,897.13 × 38,751.42
  4. Step 4: Simplify right side
    101,930.34x = 5,924,980,901.42
  5. Step 5: Solve for x
    x = 5,924,980,901.42/101,930.34
  6. Step 6: Final answer
    x = 58,127.75

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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.