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Finding the Fourth Proportional to 27,584.76, 38,070.72 and 26,834.28

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Solution

The fourth proportional to 27,584.76, 38,070.72 and 26,834.28 is: 37,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.76 : 38,070.72 = 26,834.28 : x
  2. Step 2: Convert to fraction form
    27,584.76/38,070.72 = 26,834.28/x
  3. Step 3: Cross multiply
    27,584.76x = 38,070.72 × 26,834.28
  4. Step 4: Simplify right side
    27,584.76x = 1,021,600,360.28
  5. Step 5: Solve for x
    x = 1,021,600,360.28/27,584.76
  6. Step 6: Final answer
    x = 37,034.96

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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.