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Finding the Fourth Proportional to 97,675.20, 146,512.80 and 32,011.20

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Solution

The fourth proportional to 97,675.20, 146,512.80 and 32,011.20 is: 48,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,675.20 : 146,512.80 = 32,011.20 : x
  2. Step 2: Convert to fraction form
    97,675.20/146,512.80 = 32,011.20/x
  3. Step 3: Cross multiply
    97,675.20x = 146,512.80 × 32,011.20
  4. Step 4: Simplify right side
    97,675.20x = 4,690,050,543.36
  5. Step 5: Solve for x
    x = 4,690,050,543.36/97,675.20
  6. Step 6: Final answer
    x = 48,016.80

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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.