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Finding the Fourth Proportional to 98,279.92, 147,419.79 and 24,407.92

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Solution

The fourth proportional to 98,279.92, 147,419.79 and 24,407.92 is: 36,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,279.92 : 147,419.79 = 24,407.92 : x
  2. Step 2: Convert to fraction form
    98,279.92/147,419.79 = 24,407.92/x
  3. Step 3: Cross multiply
    98,279.92x = 147,419.79 × 24,407.92
  4. Step 4: Simplify right side
    98,279.92x = 3,598,210,440.74
  5. Step 5: Solve for x
    x = 3,598,210,440.74/98,279.92
  6. Step 6: Final answer
    x = 36,611.86

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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.