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Finding the Fourth Proportional to 30,167.40, 45,251.10 and 8,279.40

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Solution

The fourth proportional to 30,167.40, 45,251.10 and 8,279.40 is: 12,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167.40 : 45,251.10 = 8,279.40 : x
  2. Step 2: Convert to fraction form
    30,167.40/45,251.10 = 8,279.40/x
  3. Step 3: Cross multiply
    30,167.40x = 45,251.10 × 8,279.40
  4. Step 4: Simplify right side
    30,167.40x = 374,651,957.34
  5. Step 5: Solve for x
    x = 374,651,957.34/30,167.40
  6. Step 6: Final answer
    x = 12,419.10

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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.