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Finding the Fourth Proportional to 29,543.74, 44,306.04 and 9,817

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Solution

The fourth proportional to 29,543.74, 44,306.04 and 9,817 is: 14,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.74 : 44,306.04 = 9,817 : x
  2. Step 2: Convert to fraction form
    29,543.74/44,306.04 = 9,817/x
  3. Step 3: Cross multiply
    29,543.74x = 44,306.04 × 9,817
  4. Step 4: Simplify right side
    29,543.74x = 434,952,394.68
  5. Step 5: Solve for x
    x = 434,952,394.68/29,543.74
  6. Step 6: Final answer
    x = 14,722.32

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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.