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Finding the Fourth Proportional to 99,084.87, 148,642.80 and 32,509.86

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Solution

The fourth proportional to 99,084.87, 148,642.80 and 32,509.86 is: 48,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084.87 : 148,642.80 = 32,509.86 : x
  2. Step 2: Convert to fraction form
    99,084.87/148,642.80 = 32,509.86/x
  3. Step 3: Cross multiply
    99,084.87x = 148,642.80 × 32,509.86
  4. Step 4: Simplify right side
    99,084.87x = 4,832,355,712.24
  5. Step 5: Solve for x
    x = 4,832,355,712.24/99,084.87
  6. Step 6: Final answer
    x = 48,769.87

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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.