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Finding the Fourth Proportional to 66,801, 100,114.02 and 37,232.76

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Solution

The fourth proportional to 66,801, 100,114.02 and 37,232.76 is: 55,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,801 : 100,114.02 = 37,232.76 : x
  2. Step 2: Convert to fraction form
    66,801/100,114.02 = 37,232.76/x
  3. Step 3: Cross multiply
    66,801x = 100,114.02 × 37,232.76
  4. Step 4: Simplify right side
    66,801x = 3,727,521,279.30
  5. Step 5: Solve for x
    x = 3,727,521,279.30/66,801
  6. Step 6: Final answer
    x = 55,800.38

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1.5x scale

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.