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Finding the Fourth Proportional to 29,546.74, 44,310.54 and 9,820

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Solution

The fourth proportional to 29,546.74, 44,310.54 and 9,820 is: 14,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.74 : 44,310.54 = 9,820 : x
  2. Step 2: Convert to fraction form
    29,546.74/44,310.54 = 9,820/x
  3. Step 3: Cross multiply
    29,546.74x = 44,310.54 × 9,820
  4. Step 4: Simplify right side
    29,546.74x = 435,129,502.80
  5. Step 5: Solve for x
    x = 435,129,502.80/29,546.74
  6. Step 6: Final answer
    x = 14,726.82

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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.