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Finding the Fourth Proportional to 32,729.50, 45,166.71 and 17,825.50

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Solution

The fourth proportional to 32,729.50, 45,166.71 and 17,825.50 is: 24,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.50 : 45,166.71 = 17,825.50 : x
  2. Step 2: Convert to fraction form
    32,729.50/45,166.71 = 17,825.50/x
  3. Step 3: Cross multiply
    32,729.50x = 45,166.71 × 17,825.50
  4. Step 4: Simplify right side
    32,729.50x = 805,119,189.11
  5. Step 5: Solve for x
    x = 805,119,189.11/32,729.50
  6. Step 6: Final answer
    x = 24,599.19

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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.