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Finding the Fourth Proportional to 47,521, 65,578.98 and 27,649

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Solution

The fourth proportional to 47,521, 65,578.98 and 27,649 is: 38,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,521 : 65,578.98 = 27,649 : x
  2. Step 2: Convert to fraction form
    47,521/65,578.98 = 27,649/x
  3. Step 3: Cross multiply
    47,521x = 65,578.98 × 27,649
  4. Step 4: Simplify right side
    47,521x = 1,813,193,218.02
  5. Step 5: Solve for x
    x = 1,813,193,218.02/47,521
  6. Step 6: Final answer
    x = 38,155.62

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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.