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Finding the Fourth Proportional to 29,747.32, 41,053.21 and 19,658.07

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Solution

The fourth proportional to 29,747.32, 41,053.21 and 19,658.07 is: 27,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,747.32 : 41,053.21 = 19,658.07 : x
  2. Step 2: Convert to fraction form
    29,747.32/41,053.21 = 19,658.07/x
  3. Step 3: Cross multiply
    29,747.32x = 41,053.21 × 19,658.07
  4. Step 4: Simplify right side
    29,747.32x = 807,026,826.76
  5. Step 5: Solve for x
    x = 807,026,826.76/29,747.32
  6. Step 6: Final answer
    x = 27,129.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.