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Finding the Fourth Proportional to 29,371.68, 44,064.36 and 9,650.16

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Solution

The fourth proportional to 29,371.68, 44,064.36 and 9,650.16 is: 14,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,371.68 : 44,064.36 = 9,650.16 : x
  2. Step 2: Convert to fraction form
    29,371.68/44,064.36 = 9,650.16/x
  3. Step 3: Cross multiply
    29,371.68x = 44,064.36 × 9,650.16
  4. Step 4: Simplify right side
    29,371.68x = 425,228,124.30
  5. Step 5: Solve for x
    x = 425,228,124.30/29,371.68
  6. Step 6: Final answer
    x = 14,477.49

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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.