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Finding the Fourth Proportional to 29,765.47, 44,646.77 and 11,049.16

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Solution

The fourth proportional to 29,765.47, 44,646.77 and 11,049.16 is: 16,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.47 : 44,646.77 = 11,049.16 : x
  2. Step 2: Convert to fraction form
    29,765.47/44,646.77 = 11,049.16/x
  3. Step 3: Cross multiply
    29,765.47x = 44,646.77 × 11,049.16
  4. Step 4: Simplify right side
    29,765.47x = 493,309,305.21
  5. Step 5: Solve for x
    x = 493,309,305.21/29,765.47
  6. Step 6: Final answer
    x = 16,573.21

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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.