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Finding the Fourth Proportional to 32,733, 45,172.50 and 17,829.96

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Solution

The fourth proportional to 32,733, 45,172.50 and 17,829.96 is: 24,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,733 : 45,172.50 = 17,829.96 : x
  2. Step 2: Convert to fraction form
    32,733/45,172.50 = 17,829.96/x
  3. Step 3: Cross multiply
    32,733x = 45,172.50 × 17,829.96
  4. Step 4: Simplify right side
    32,733x = 805,423,868.10
  5. Step 5: Solve for x
    x = 805,423,868.10/32,733
  6. Step 6: Final answer
    x = 24,605.87

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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.