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Finding the Fourth Proportional to 99,209.16, 148,811.94 and 32,649.84

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Solution

The fourth proportional to 99,209.16, 148,811.94 and 32,649.84 is: 48,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,209.16 : 148,811.94 = 32,649.84 : x
  2. Step 2: Convert to fraction form
    99,209.16/148,811.94 = 32,649.84/x
  3. Step 3: Cross multiply
    99,209.16x = 148,811.94 × 32,649.84
  4. Step 4: Simplify right side
    99,209.16x = 4,858,686,031.09
  5. Step 5: Solve for x
    x = 4,858,686,031.09/99,209.16
  6. Step 6: Final answer
    x = 48,974.17

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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.