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Finding the Fourth Proportional to 32,131.80, 48,197.70 and 28,438.20

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Solution

The fourth proportional to 32,131.80, 48,197.70 and 28,438.20 is: 42,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.80 : 48,197.70 = 28,438.20 : x
  2. Step 2: Convert to fraction form
    32,131.80/48,197.70 = 28,438.20/x
  3. Step 3: Cross multiply
    32,131.80x = 48,197.70 × 28,438.20
  4. Step 4: Simplify right side
    32,131.80x = 1,370,655,832.14
  5. Step 5: Solve for x
    x = 1,370,655,832.14/32,131.80
  6. Step 6: Final answer
    x = 42,657.30

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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.