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Finding the Fourth Proportional to 98,944.92, 148,380.62 and 42,793.08

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Solution

The fourth proportional to 98,944.92, 148,380.62 and 42,793.08 is: 64,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,944.92 : 148,380.62 = 42,793.08 : x
  2. Step 2: Convert to fraction form
    98,944.92/148,380.62 = 42,793.08/x
  3. Step 3: Cross multiply
    98,944.92x = 148,380.62 × 42,793.08
  4. Step 4: Simplify right side
    98,944.92x = 6,349,663,742.11
  5. Step 5: Solve for x
    x = 6,349,663,742.11/98,944.92
  6. Step 6: Final answer
    x = 64,173.72

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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.