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Finding the Fourth Proportional to 32,191.82, 48,267.73 and 13,448.88

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Solution

The fourth proportional to 32,191.82, 48,267.73 and 13,448.88 is: 20,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.82 : 48,267.73 = 13,448.88 : x
  2. Step 2: Convert to fraction form
    32,191.82/48,267.73 = 13,448.88/x
  3. Step 3: Cross multiply
    32,191.82x = 48,267.73 × 13,448.88
  4. Step 4: Simplify right side
    32,191.82x = 649,146,875.02
  5. Step 5: Solve for x
    x = 649,146,875.02/32,191.82
  6. Step 6: Final answer
    x = 20,164.97

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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.