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Finding the Fourth Proportional to 32,852.80, 49,252.20 and 14,147.20

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Solution

The fourth proportional to 32,852.80, 49,252.20 and 14,147.20 is: 21,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.80 : 49,252.20 = 14,147.20 : x
  2. Step 2: Convert to fraction form
    32,852.80/49,252.20 = 14,147.20/x
  3. Step 3: Cross multiply
    32,852.80x = 49,252.20 × 14,147.20
  4. Step 4: Simplify right side
    32,852.80x = 696,780,723.84
  5. Step 5: Solve for x
    x = 696,780,723.84/32,852.80
  6. Step 6: Final answer
    x = 21,209.17

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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.