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Finding the Fourth Proportional to 29,761.92, 44,643.14 and 7,575.32

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Solution

The fourth proportional to 29,761.92, 44,643.14 and 7,575.32 is: 11,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,761.92 : 44,643.14 = 7,575.32 : x
  2. Step 2: Convert to fraction form
    29,761.92/44,643.14 = 7,575.32/x
  3. Step 3: Cross multiply
    29,761.92x = 44,643.14 × 7,575.32
  4. Step 4: Simplify right side
    29,761.92x = 338,186,071.30
  5. Step 5: Solve for x
    x = 338,186,071.30/29,761.92
  6. Step 6: Final answer
    x = 11,363.05

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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.