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Finding the Fourth Proportional to 32,114.40, 48,171.60 and 28,833.90

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Solution

The fourth proportional to 32,114.40, 48,171.60 and 28,833.90 is: 43,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.40 : 48,171.60 = 28,833.90 : x
  2. Step 2: Convert to fraction form
    32,114.40/48,171.60 = 28,833.90/x
  3. Step 3: Cross multiply
    32,114.40x = 48,171.60 × 28,833.90
  4. Step 4: Simplify right side
    32,114.40x = 1,388,975,097.24
  5. Step 5: Solve for x
    x = 1,388,975,097.24/32,114.40
  6. Step 6: Final answer
    x = 43,250.85

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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.