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Finding the Fourth Proportional to 30,471.28, 45,708.24 and 10,750

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Solution

The fourth proportional to 30,471.28, 45,708.24 and 10,750 is: 16,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.28 : 45,708.24 = 10,750 : x
  2. Step 2: Convert to fraction form
    30,471.28/45,708.24 = 10,750/x
  3. Step 3: Cross multiply
    30,471.28x = 45,708.24 × 10,750
  4. Step 4: Simplify right side
    30,471.28x = 491,363,580
  5. Step 5: Solve for x
    x = 491,363,580/30,471.28
  6. Step 6: Final answer
    x = 16,125.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.