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Finding the Fourth Proportional to 27,565.40, 41,348.10 and 25,621.40

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Solution

The fourth proportional to 27,565.40, 41,348.10 and 25,621.40 is: 38,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.40 : 41,348.10 = 25,621.40 : x
  2. Step 2: Convert to fraction form
    27,565.40/41,348.10 = 25,621.40/x
  3. Step 3: Cross multiply
    27,565.40x = 41,348.10 × 25,621.40
  4. Step 4: Simplify right side
    27,565.40x = 1,059,396,209.34
  5. Step 5: Solve for x
    x = 1,059,396,209.34/27,565.40
  6. Step 6: Final answer
    x = 38,432.10

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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.