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Finding the Fourth Proportional to 32,145.40, 48,189.30 and 28,646.20

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Solution

The fourth proportional to 32,145.40, 48,189.30 and 28,646.20 is: 42,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.40 : 48,189.30 = 28,646.20 : x
  2. Step 2: Convert to fraction form
    32,145.40/48,189.30 = 28,646.20/x
  3. Step 3: Cross multiply
    32,145.40x = 48,189.30 × 28,646.20
  4. Step 4: Simplify right side
    32,145.40x = 1,380,440,325.66
  5. Step 5: Solve for x
    x = 1,380,440,325.66/32,145.40
  6. Step 6: Final answer
    x = 42,943.64

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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.