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Finding the Fourth Proportional to 27,432.66, 41,149.02 and 6,656.16

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Solution

The fourth proportional to 27,432.66, 41,149.02 and 6,656.16 is: 9,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432.66 : 41,149.02 = 6,656.16 : x
  2. Step 2: Convert to fraction form
    27,432.66/41,149.02 = 6,656.16/x
  3. Step 3: Cross multiply
    27,432.66x = 41,149.02 × 6,656.16
  4. Step 4: Simplify right side
    27,432.66x = 273,894,460.96
  5. Step 5: Solve for x
    x = 273,894,460.96/27,432.66
  6. Step 6: Final answer
    x = 9,984.25

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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.