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Finding the Fourth Proportional to 29,649.47, 44,469.54 and 9,659.68

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Solution

The fourth proportional to 29,649.47, 44,469.54 and 9,659.68 is: 14,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.47 : 44,469.54 = 9,659.68 : x
  2. Step 2: Convert to fraction form
    29,649.47/44,469.54 = 9,659.68/x
  3. Step 3: Cross multiply
    29,649.47x = 44,469.54 × 9,659.68
  4. Step 4: Simplify right side
    29,649.47x = 429,561,526.15
  5. Step 5: Solve for x
    x = 429,561,526.15/29,649.47
  6. Step 6: Final answer
    x = 14,488.00

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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.