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Finding the Fourth Proportional to 32,686.40, 48,964.80 and 17,868.80

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Solution

The fourth proportional to 32,686.40, 48,964.80 and 17,868.80 is: 26,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.40 : 48,964.80 = 17,868.80 : x
  2. Step 2: Convert to fraction form
    32,686.40/48,964.80 = 17,868.80/x
  3. Step 3: Cross multiply
    32,686.40x = 48,964.80 × 17,868.80
  4. Step 4: Simplify right side
    32,686.40x = 874,942,218.24
  5. Step 5: Solve for x
    x = 874,942,218.24/32,686.40
  6. Step 6: Final answer
    x = 26,767.78

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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.