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Finding the Fourth Proportional to 32,009.49, 44,172.85 and 18,582

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Solution

The fourth proportional to 32,009.49, 44,172.85 and 18,582 is: 25,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.49 : 44,172.85 = 18,582 : x
  2. Step 2: Convert to fraction form
    32,009.49/44,172.85 = 18,582/x
  3. Step 3: Cross multiply
    32,009.49x = 44,172.85 × 18,582
  4. Step 4: Simplify right side
    32,009.49x = 820,819,898.70
  5. Step 5: Solve for x
    x = 820,819,898.70/32,009.49
  6. Step 6: Final answer
    x = 25,643.02

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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.