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Finding the Fourth Proportional to 100,954.70, 151,432.05 and 48,337.10

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Solution

The fourth proportional to 100,954.70, 151,432.05 and 48,337.10 is: 72,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,954.70 : 151,432.05 = 48,337.10 : x
  2. Step 2: Convert to fraction form
    100,954.70/151,432.05 = 48,337.10/x
  3. Step 3: Cross multiply
    100,954.70x = 151,432.05 × 48,337.10
  4. Step 4: Simplify right side
    100,954.70x = 7,319,786,144.06
  5. Step 5: Solve for x
    x = 7,319,786,144.06/100,954.70
  6. Step 6: Final answer
    x = 72,505.65

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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.