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Finding the Fourth Proportional to 32,731.89, 45,166.57 and 18,582

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Solution

The fourth proportional to 32,731.89, 45,166.57 and 18,582 is: 25,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731.89 : 45,166.57 = 18,582 : x
  2. Step 2: Convert to fraction form
    32,731.89/45,166.57 = 18,582/x
  3. Step 3: Cross multiply
    32,731.89x = 45,166.57 × 18,582
  4. Step 4: Simplify right side
    32,731.89x = 839,285,203.74
  5. Step 5: Solve for x
    x = 839,285,203.74/32,731.89
  6. Step 6: Final answer
    x = 25,641.21

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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.