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Finding the Fourth Proportional to 30,532.70, 42,127.14 and 17,608.84

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Solution

The fourth proportional to 30,532.70, 42,127.14 and 17,608.84 is: 24,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.70 : 42,127.14 = 17,608.84 : x
  2. Step 2: Convert to fraction form
    30,532.70/42,127.14 = 17,608.84/x
  3. Step 3: Cross multiply
    30,532.70x = 42,127.14 × 17,608.84
  4. Step 4: Simplify right side
    30,532.70x = 741,810,166.55
  5. Step 5: Solve for x
    x = 741,810,166.55/30,532.70
  6. Step 6: Final answer
    x = 24,295.60

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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.