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Finding the Fourth Proportional to 32,854.80, 49,282.20 and 30,320.40

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Solution

The fourth proportional to 32,854.80, 49,282.20 and 30,320.40 is: 45,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.80 : 49,282.20 = 30,320.40 : x
  2. Step 2: Convert to fraction form
    32,854.80/49,282.20 = 30,320.40/x
  3. Step 3: Cross multiply
    32,854.80x = 49,282.20 × 30,320.40
  4. Step 4: Simplify right side
    32,854.80x = 1,494,256,016.88
  5. Step 5: Solve for x
    x = 1,494,256,016.88/32,854.80
  6. Step 6: Final answer
    x = 45,480.60

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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.