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Finding the Fourth Proportional to 71,398.20, 107,056.80 and 27,026.40

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Solution

The fourth proportional to 71,398.20, 107,056.80 and 27,026.40 is: 40,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,398.20 : 107,056.80 = 27,026.40 : x
  2. Step 2: Convert to fraction form
    71,398.20/107,056.80 = 27,026.40/x
  3. Step 3: Cross multiply
    71,398.20x = 107,056.80 × 27,026.40
  4. Step 4: Simplify right side
    71,398.20x = 2,893,359,899.52
  5. Step 5: Solve for x
    x = 2,893,359,899.52/71,398.20
  6. Step 6: Final answer
    x = 40,524.27

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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.