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Finding the Fourth Proportional to 29,141.69, 43,719.80 and 9,422.24

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Solution

The fourth proportional to 29,141.69, 43,719.80 and 9,422.24 is: 14,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,141.69 : 43,719.80 = 9,422.24 : x
  2. Step 2: Convert to fraction form
    29,141.69/43,719.80 = 9,422.24/x
  3. Step 3: Cross multiply
    29,141.69x = 43,719.80 × 9,422.24
  4. Step 4: Simplify right side
    29,141.69x = 411,938,182.64
  5. Step 5: Solve for x
    x = 411,938,182.64/29,141.69
  6. Step 6: Final answer
    x = 14,135.70

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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.