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Finding the Fourth Proportional to 32,754.40, 49,130.40 and 9,380.80

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Solution

The fourth proportional to 32,754.40, 49,130.40 and 9,380.80 is: 14,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.40 : 49,130.40 = 9,380.80 : x
  2. Step 2: Convert to fraction form
    32,754.40/49,130.40 = 9,380.80/x
  3. Step 3: Cross multiply
    32,754.40x = 49,130.40 × 9,380.80
  4. Step 4: Simplify right side
    32,754.40x = 460,882,456.32
  5. Step 5: Solve for x
    x = 460,882,456.32/32,754.40
  6. Step 6: Final answer
    x = 14,070.86

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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.