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Finding the Fourth Proportional to 27,570, 41,361.92 and 8,851.70

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Solution

The fourth proportional to 27,570, 41,361.92 and 8,851.70 is: 13,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570 : 41,361.92 = 8,851.70 : x
  2. Step 2: Convert to fraction form
    27,570/41,361.92 = 8,851.70/x
  3. Step 3: Cross multiply
    27,570x = 41,361.92 × 8,851.70
  4. Step 4: Simplify right side
    27,570x = 366,123,307.26
  5. Step 5: Solve for x
    x = 366,123,307.26/27,570
  6. Step 6: Final answer
    x = 13,279.77

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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.