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Finding the Fourth Proportional to 27,099, 40,641.60 and 7,376.52

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Solution

The fourth proportional to 27,099, 40,641.60 and 7,376.52 is: 11,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099 : 40,641.60 = 7,376.52 : x
  2. Step 2: Convert to fraction form
    27,099/40,641.60 = 7,376.52/x
  3. Step 3: Cross multiply
    27,099x = 40,641.60 × 7,376.52
  4. Step 4: Simplify right side
    27,099x = 299,793,575.23
  5. Step 5: Solve for x
    x = 299,793,575.23/27,099
  6. Step 6: Final answer
    x = 11,062.90

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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.