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Finding the Fourth Proportional to 85,162.84, 127,744.26 and 32,588.44

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Solution

The fourth proportional to 85,162.84, 127,744.26 and 32,588.44 is: 48,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,162.84 : 127,744.26 = 32,588.44 : x
  2. Step 2: Convert to fraction form
    85,162.84/127,744.26 = 32,588.44/x
  3. Step 3: Cross multiply
    85,162.84x = 127,744.26 × 32,588.44
  4. Step 4: Simplify right side
    85,162.84x = 4,162,986,152.35
  5. Step 5: Solve for x
    x = 4,162,986,152.35/85,162.84
  6. Step 6: Final answer
    x = 48,882.66

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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.