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Finding the Fourth Proportional to 29,291.52, 43,942.95 and 9,564.78

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Solution

The fourth proportional to 29,291.52, 43,942.95 and 9,564.78 is: 14,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291.52 : 43,942.95 = 9,564.78 : x
  2. Step 2: Convert to fraction form
    29,291.52/43,942.95 = 9,564.78/x
  3. Step 3: Cross multiply
    29,291.52x = 43,942.95 × 9,564.78
  4. Step 4: Simplify right side
    29,291.52x = 420,304,649.30
  5. Step 5: Solve for x
    x = 420,304,649.30/29,291.52
  6. Step 6: Final answer
    x = 14,349.02

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1.5x scale

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.