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Finding the Fourth Proportional to 27,073.84, 40,613.10 and 9,543.82

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Solution

The fourth proportional to 27,073.84, 40,613.10 and 9,543.82 is: 14,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,073.84 : 40,613.10 = 9,543.82 : x
  2. Step 2: Convert to fraction form
    27,073.84/40,613.10 = 9,543.82/x
  3. Step 3: Cross multiply
    27,073.84x = 40,613.10 × 9,543.82
  4. Step 4: Simplify right side
    27,073.84x = 387,604,116.04
  5. Step 5: Solve for x
    x = 387,604,116.04/27,073.84
  6. Step 6: Final answer
    x = 14,316.55

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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.