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Finding the Fourth Proportional to 32,200.40, 48,300.60 and 27,534.80

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Solution

The fourth proportional to 32,200.40, 48,300.60 and 27,534.80 is: 41,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.40 : 48,300.60 = 27,534.80 : x
  2. Step 2: Convert to fraction form
    32,200.40/48,300.60 = 27,534.80/x
  3. Step 3: Cross multiply
    32,200.40x = 48,300.60 × 27,534.80
  4. Step 4: Simplify right side
    32,200.40x = 1,329,947,360.88
  5. Step 5: Solve for x
    x = 1,329,947,360.88/32,200.40
  6. Step 6: Final answer
    x = 41,302.20

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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.