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Finding the Fourth Proportional to 29,002.50, 43,509.22 and 9,275.76

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Solution

The fourth proportional to 29,002.50, 43,509.22 and 9,275.76 is: 13,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,002.50 : 43,509.22 = 9,275.76 : x
  2. Step 2: Convert to fraction form
    29,002.50/43,509.22 = 9,275.76/x
  3. Step 3: Cross multiply
    29,002.50x = 43,509.22 × 9,275.76
  4. Step 4: Simplify right side
    29,002.50x = 403,581,082.51
  5. Step 5: Solve for x
    x = 403,581,082.51/29,002.50
  6. Step 6: Final answer
    x = 13,915.39

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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.