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Finding the Fourth Proportional to 27,053.65, 40,581.42 and 7,332.58

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Solution

The fourth proportional to 27,053.65, 40,581.42 and 7,332.58 is: 10,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,053.65 : 40,581.42 = 7,332.58 : x
  2. Step 2: Convert to fraction form
    27,053.65/40,581.42 = 7,332.58/x
  3. Step 3: Cross multiply
    27,053.65x = 40,581.42 × 7,332.58
  4. Step 4: Simplify right side
    27,053.65x = 297,566,508.66
  5. Step 5: Solve for x
    x = 297,566,508.66/27,053.65
  6. Step 6: Final answer
    x = 10,999.13

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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.