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Finding the Fourth Proportional to 30,902.04, 42,644.16 and 17,471.52

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Solution

The fourth proportional to 30,902.04, 42,644.16 and 17,471.52 is: 24,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.04 : 42,644.16 = 17,471.52 : x
  2. Step 2: Convert to fraction form
    30,902.04/42,644.16 = 17,471.52/x
  3. Step 3: Cross multiply
    30,902.04x = 42,644.16 × 17,471.52
  4. Step 4: Simplify right side
    30,902.04x = 745,058,294.32
  5. Step 5: Solve for x
    x = 745,058,294.32/30,902.04
  6. Step 6: Final answer
    x = 24,110.33

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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.