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Finding the Fourth Proportional to 32,881.80, 49,322.70 and 27,414.30

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Solution

The fourth proportional to 32,881.80, 49,322.70 and 27,414.30 is: 41,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.80 : 49,322.70 = 27,414.30 : x
  2. Step 2: Convert to fraction form
    32,881.80/49,322.70 = 27,414.30/x
  3. Step 3: Cross multiply
    32,881.80x = 49,322.70 × 27,414.30
  4. Step 4: Simplify right side
    32,881.80x = 1,352,147,294.61
  5. Step 5: Solve for x
    x = 1,352,147,294.61/32,881.80
  6. Step 6: Final answer
    x = 41,121.45

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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.