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Finding the Fourth Proportional to 99,267.68, 148,923.48 and 32,705.12

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Solution

The fourth proportional to 99,267.68, 148,923.48 and 32,705.12 is: 49,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,267.68 : 148,923.48 = 32,705.12 : x
  2. Step 2: Convert to fraction form
    99,267.68/148,923.48 = 32,705.12/x
  3. Step 3: Cross multiply
    99,267.68x = 148,923.48 × 32,705.12
  4. Step 4: Simplify right side
    99,267.68x = 4,870,560,284.22
  5. Step 5: Solve for x
    x = 4,870,560,284.22/99,267.68
  6. Step 6: Final answer
    x = 49,064.92

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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.