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Finding the Fourth Proportional to 35,123.20, 52,684.80 and 32,012.80

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Solution

The fourth proportional to 35,123.20, 52,684.80 and 32,012.80 is: 48,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,123.20 : 52,684.80 = 32,012.80 : x
  2. Step 2: Convert to fraction form
    35,123.20/52,684.80 = 32,012.80/x
  3. Step 3: Cross multiply
    35,123.20x = 52,684.80 × 32,012.80
  4. Step 4: Simplify right side
    35,123.20x = 1,686,587,965.44
  5. Step 5: Solve for x
    x = 1,686,587,965.44/35,123.20
  6. Step 6: Final answer
    x = 48,019.20

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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.