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Finding the Fourth Proportional to 29,098.10, 43,649.66 and 8,038.13

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Solution

The fourth proportional to 29,098.10, 43,649.66 and 8,038.13 is: 12,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.10 : 43,649.66 = 8,038.13 : x
  2. Step 2: Convert to fraction form
    29,098.10/43,649.66 = 8,038.13/x
  3. Step 3: Cross multiply
    29,098.10x = 43,649.66 × 8,038.13
  4. Step 4: Simplify right side
    29,098.10x = 350,861,641.54
  5. Step 5: Solve for x
    x = 350,861,641.54/29,098.10
  6. Step 6: Final answer
    x = 12,057.89

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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.