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Finding the Fourth Proportional to 29,000.64, 43,493.86 and 9,275.11

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Solution

The fourth proportional to 29,000.64, 43,493.86 and 9,275.11 is: 13,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,000.64 : 43,493.86 = 9,275.11 : x
  2. Step 2: Convert to fraction form
    29,000.64/43,493.86 = 9,275.11/x
  3. Step 3: Cross multiply
    29,000.64x = 43,493.86 × 9,275.11
  4. Step 4: Simplify right side
    29,000.64x = 403,410,335.82
  5. Step 5: Solve for x
    x = 403,410,335.82/29,000.64
  6. Step 6: Final answer
    x = 13,910.39

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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.