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Finding the Fourth Proportional to 47,769.38, 65,923.98 and 26,549

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Solution

The fourth proportional to 47,769.38, 65,923.98 and 26,549 is: 36,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769.38 : 65,923.98 = 26,549 : x
  2. Step 2: Convert to fraction form
    47,769.38/65,923.98 = 26,549/x
  3. Step 3: Cross multiply
    47,769.38x = 65,923.98 × 26,549
  4. Step 4: Simplify right side
    47,769.38x = 1,750,215,745.02
  5. Step 5: Solve for x
    x = 1,750,215,745.02/47,769.38
  6. Step 6: Final answer
    x = 36,638.86

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1.5x scale

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.