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Finding the Fourth Proportional to 30,775.50, 42,470.19 and 17,527.50

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Solution

The fourth proportional to 30,775.50, 42,470.19 and 17,527.50 is: 24,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.50 : 42,470.19 = 17,527.50 : x
  2. Step 2: Convert to fraction form
    30,775.50/42,470.19 = 17,527.50/x
  3. Step 3: Cross multiply
    30,775.50x = 42,470.19 × 17,527.50
  4. Step 4: Simplify right side
    30,775.50x = 744,396,255.23
  5. Step 5: Solve for x
    x = 744,396,255.23/30,775.50
  6. Step 6: Final answer
    x = 24,187.95

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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.