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Finding the Fourth Proportional to 30,778.47, 42,471.74 and 17,353.02

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Solution

The fourth proportional to 30,778.47, 42,471.74 and 17,353.02 is: 23,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.47 : 42,471.74 = 17,353.02 : x
  2. Step 2: Convert to fraction form
    30,778.47/42,471.74 = 17,353.02/x
  3. Step 3: Cross multiply
    30,778.47x = 42,471.74 × 17,353.02
  4. Step 4: Simplify right side
    30,778.47x = 737,013,058.70
  5. Step 5: Solve for x
    x = 737,013,058.70/30,778.47
  6. Step 6: Final answer
    x = 23,945.73

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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.