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Finding the Fourth Proportional to 29,862.32, 44,795.05 and 7,675.85

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Solution

The fourth proportional to 29,862.32, 44,795.05 and 7,675.85 is: 11,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,862.32 : 44,795.05 = 7,675.85 : x
  2. Step 2: Convert to fraction form
    29,862.32/44,795.05 = 7,675.85/x
  3. Step 3: Cross multiply
    29,862.32x = 44,795.05 × 7,675.85
  4. Step 4: Simplify right side
    29,862.32x = 343,840,084.54
  5. Step 5: Solve for x
    x = 343,840,084.54/29,862.32
  6. Step 6: Final answer
    x = 11,514.18

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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.