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Finding the Fourth Proportional to 110,909.20, 166,363.80 and 32,031.40

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Solution

The fourth proportional to 110,909.20, 166,363.80 and 32,031.40 is: 48,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,909.20 : 166,363.80 = 32,031.40 : x
  2. Step 2: Convert to fraction form
    110,909.20/166,363.80 = 32,031.40/x
  3. Step 3: Cross multiply
    110,909.20x = 166,363.80 × 32,031.40
  4. Step 4: Simplify right side
    110,909.20x = 5,328,865,423.32
  5. Step 5: Solve for x
    x = 5,328,865,423.32/110,909.20
  6. Step 6: Final answer
    x = 48,047.10

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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.