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Finding the Fourth Proportional to 32,011.60, 48,017.40 and 20,930.80

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Solution

The fourth proportional to 32,011.60, 48,017.40 and 20,930.80 is: 31,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.60 : 48,017.40 = 20,930.80 : x
  2. Step 2: Convert to fraction form
    32,011.60/48,017.40 = 20,930.80/x
  3. Step 3: Cross multiply
    32,011.60x = 48,017.40 × 20,930.80
  4. Step 4: Simplify right side
    32,011.60x = 1,005,042,595.92
  5. Step 5: Solve for x
    x = 1,005,042,595.92/32,011.60
  6. Step 6: Final answer
    x = 31,396.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.