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Finding the Fourth Proportional to 27,564.75, 38,042.99 and 26,814.18

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Solution

The fourth proportional to 27,564.75, 38,042.99 and 26,814.18 is: 37,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.75 : 38,042.99 = 26,814.18 : x
  2. Step 2: Convert to fraction form
    27,564.75/38,042.99 = 26,814.18/x
  3. Step 3: Cross multiply
    27,564.75x = 38,042.99 × 26,814.18
  4. Step 4: Simplify right side
    27,564.75x = 1,020,091,447.53
  5. Step 5: Solve for x
    x = 1,020,091,447.53/27,564.75
  6. Step 6: Final answer
    x = 37,007.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.