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Finding the Fourth Proportional to 32,869.70, 49,304.55 and 16,232.30

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Solution

The fourth proportional to 32,869.70, 49,304.55 and 16,232.30 is: 24,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,869.70 : 49,304.55 = 16,232.30 : x
  2. Step 2: Convert to fraction form
    32,869.70/49,304.55 = 16,232.30/x
  3. Step 3: Cross multiply
    32,869.70x = 49,304.55 × 16,232.30
  4. Step 4: Simplify right side
    32,869.70x = 800,326,246.97
  5. Step 5: Solve for x
    x = 800,326,246.97/32,869.70
  6. Step 6: Final answer
    x = 24,348.45

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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.