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Finding the Fourth Proportional to 84,711.84, 127,086.24 and 32,121.84

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Solution

The fourth proportional to 84,711.84, 127,086.24 and 32,121.84 is: 48,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,711.84 : 127,086.24 = 32,121.84 : x
  2. Step 2: Convert to fraction form
    84,711.84/127,086.24 = 32,121.84/x
  3. Step 3: Cross multiply
    84,711.84x = 127,086.24 × 32,121.84
  4. Step 4: Simplify right side
    84,711.84x = 4,082,243,867.48
  5. Step 5: Solve for x
    x = 4,082,243,867.48/84,711.84
  6. Step 6: Final answer
    x = 48,189.77

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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.