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Finding the Fourth Proportional to 32,750.40, 49,125.60 and 32,167.20

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Solution

The fourth proportional to 32,750.40, 49,125.60 and 32,167.20 is: 48,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,750.40 : 49,125.60 = 32,167.20 : x
  2. Step 2: Convert to fraction form
    32,750.40/49,125.60 = 32,167.20/x
  3. Step 3: Cross multiply
    32,750.40x = 49,125.60 × 32,167.20
  4. Step 4: Simplify right side
    32,750.40x = 1,580,233,000.32
  5. Step 5: Solve for x
    x = 1,580,233,000.32/32,750.40
  6. Step 6: Final answer
    x = 48,250.80

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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.