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Finding the Fourth Proportional to 101,549.12, 152,290.68 and 34,972.88

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Solution

The fourth proportional to 101,549.12, 152,290.68 and 34,972.88 is: 52,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,549.12 : 152,290.68 = 34,972.88 : x
  2. Step 2: Convert to fraction form
    101,549.12/152,290.68 = 34,972.88/x
  3. Step 3: Cross multiply
    101,549.12x = 152,290.68 × 34,972.88
  4. Step 4: Simplify right side
    101,549.12x = 5,326,043,676.76
  5. Step 5: Solve for x
    x = 5,326,043,676.76/101,549.12
  6. Step 6: Final answer
    x = 52,447.96

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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.