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Finding the Fourth Proportional to 32,199.78, 48,277.80 and 20,360.82

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Solution

The fourth proportional to 32,199.78, 48,277.80 and 20,360.82 is: 30,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.78 : 48,277.80 = 20,360.82 : x
  2. Step 2: Convert to fraction form
    32,199.78/48,277.80 = 20,360.82/x
  3. Step 3: Cross multiply
    32,199.78x = 48,277.80 × 20,360.82
  4. Step 4: Simplify right side
    32,199.78x = 982,975,595.80
  5. Step 5: Solve for x
    x = 982,975,595.80/32,199.78
  6. Step 6: Final answer
    x = 30,527.40

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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.