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Finding the Fourth Proportional to 29,633.83, 44,467.17 and 12,102.30

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Solution

The fourth proportional to 29,633.83, 44,467.17 and 12,102.30 is: 18,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,633.83 : 44,467.17 = 12,102.30 : x
  2. Step 2: Convert to fraction form
    29,633.83/44,467.17 = 12,102.30/x
  3. Step 3: Cross multiply
    29,633.83x = 44,467.17 × 12,102.30
  4. Step 4: Simplify right side
    29,633.83x = 538,155,031.49
  5. Step 5: Solve for x
    x = 538,155,031.49/29,633.83
  6. Step 6: Final answer
    x = 18,160.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.