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Finding the Fourth Proportional to 27,042, 40,562.82 and 7,322.58

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Solution

The fourth proportional to 27,042, 40,562.82 and 7,322.58 is: 10,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042 : 40,562.82 = 7,322.58 : x
  2. Step 2: Convert to fraction form
    27,042/40,562.82 = 7,322.58/x
  3. Step 3: Cross multiply
    27,042x = 40,562.82 × 7,322.58
  4. Step 4: Simplify right side
    27,042x = 297,024,494.48
  5. Step 5: Solve for x
    x = 297,024,494.48/27,042
  6. Step 6: Final answer
    x = 10,983.82

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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.