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Finding the Fourth Proportional to 29,658.68, 44,488.08 and 7,471.88

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Solution

The fourth proportional to 29,658.68, 44,488.08 and 7,471.88 is: 11,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.68 : 44,488.08 = 7,471.88 : x
  2. Step 2: Convert to fraction form
    29,658.68/44,488.08 = 7,471.88/x
  3. Step 3: Cross multiply
    29,658.68x = 44,488.08 × 7,471.88
  4. Step 4: Simplify right side
    29,658.68x = 332,409,595.19
  5. Step 5: Solve for x
    x = 332,409,595.19/29,658.68
  6. Step 6: Final answer
    x = 11,207.84

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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.