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Finding the Fourth Proportional to 29,665.71, 44,498.57 and 7,479

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Solution

The fourth proportional to 29,665.71, 44,498.57 and 7,479 is: 11,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665.71 : 44,498.57 = 7,479 : x
  2. Step 2: Convert to fraction form
    29,665.71/44,498.57 = 7,479/x
  3. Step 3: Cross multiply
    29,665.71x = 44,498.57 × 7,479
  4. Step 4: Simplify right side
    29,665.71x = 332,804,767.64
  5. Step 5: Solve for x
    x = 332,804,767.64/29,665.71
  6. Step 6: Final answer
    x = 11,218.50

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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.