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Finding the Fourth Proportional to 29,882.52, 44,830.80 and 9,106.02

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Solution

The fourth proportional to 29,882.52, 44,830.80 and 9,106.02 is: 13,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.52 : 44,830.80 = 9,106.02 : x
  2. Step 2: Convert to fraction form
    29,882.52/44,830.80 = 9,106.02/x
  3. Step 3: Cross multiply
    29,882.52x = 44,830.80 × 9,106.02
  4. Step 4: Simplify right side
    29,882.52x = 408,230,161.42
  5. Step 5: Solve for x
    x = 408,230,161.42/29,882.52
  6. Step 6: Final answer
    x = 13,661.17

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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.