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Finding the Fourth Proportional to 29,006.64, 43,512.06 and 9,013.50

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Solution

The fourth proportional to 29,006.64, 43,512.06 and 9,013.50 is: 13,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006.64 : 43,512.06 = 9,013.50 : x
  2. Step 2: Convert to fraction form
    29,006.64/43,512.06 = 9,013.50/x
  3. Step 3: Cross multiply
    29,006.64x = 43,512.06 × 9,013.50
  4. Step 4: Simplify right side
    29,006.64x = 392,195,952.81
  5. Step 5: Solve for x
    x = 392,195,952.81/29,006.64
  6. Step 6: Final answer
    x = 13,520.90

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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.