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Finding the Fourth Proportional to 101,306.76, 151,948.62 and 27,429

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Solution

The fourth proportional to 101,306.76, 151,948.62 and 27,429 is: 41,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306.76 : 151,948.62 = 27,429 : x
  2. Step 2: Convert to fraction form
    101,306.76/151,948.62 = 27,429/x
  3. Step 3: Cross multiply
    101,306.76x = 151,948.62 × 27,429
  4. Step 4: Simplify right side
    101,306.76x = 4,167,798,697.98
  5. Step 5: Solve for x
    x = 4,167,798,697.98/101,306.76
  6. Step 6: Final answer
    x = 41,140.38

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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.