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Finding the Fourth Proportional to 29,381.16, 44,062.82 and 8,319.54

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Solution

The fourth proportional to 29,381.16, 44,062.82 and 8,319.54 is: 12,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381.16 : 44,062.82 = 8,319.54 : x
  2. Step 2: Convert to fraction form
    29,381.16/44,062.82 = 8,319.54/x
  3. Step 3: Cross multiply
    29,381.16x = 44,062.82 × 8,319.54
  4. Step 4: Simplify right side
    29,381.16x = 366,582,393.50
  5. Step 5: Solve for x
    x = 366,582,393.50/29,381.16
  6. Step 6: Final answer
    x = 12,476.78

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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.