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Finding the Fourth Proportional to 29,498.77, 44,246.87 and 9,507.82

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Solution

The fourth proportional to 29,498.77, 44,246.87 and 9,507.82 is: 14,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498.77 : 44,246.87 = 9,507.82 : x
  2. Step 2: Convert to fraction form
    29,498.77/44,246.87 = 9,507.82/x
  3. Step 3: Cross multiply
    29,498.77x = 44,246.87 × 9,507.82
  4. Step 4: Simplify right side
    29,498.77x = 420,691,275.52
  5. Step 5: Solve for x
    x = 420,691,275.52/29,498.77
  6. Step 6: Final answer
    x = 14,261.32

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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.