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Finding the Fourth Proportional to 32,209.65, 44,449.43 and 17,870.49

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Solution

The fourth proportional to 32,209.65, 44,449.43 and 17,870.49 is: 24,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.65 : 44,449.43 = 17,870.49 : x
  2. Step 2: Convert to fraction form
    32,209.65/44,449.43 = 17,870.49/x
  3. Step 3: Cross multiply
    32,209.65x = 44,449.43 × 17,870.49
  4. Step 4: Simplify right side
    32,209.65x = 794,333,004.97
  5. Step 5: Solve for x
    x = 794,333,004.97/32,209.65
  6. Step 6: Final answer
    x = 24,661.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.