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Finding the Fourth Proportional to 72,902.33, 109,353.49 and 17,498.33

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Solution

The fourth proportional to 72,902.33, 109,353.49 and 17,498.33 is: 26,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902.33 : 109,353.49 = 17,498.33 : x
  2. Step 2: Convert to fraction form
    72,902.33/109,353.49 = 17,498.33/x
  3. Step 3: Cross multiply
    72,902.33x = 109,353.49 × 17,498.33
  4. Step 4: Simplify right side
    72,902.33x = 1,913,503,454.67
  5. Step 5: Solve for x
    x = 1,913,503,454.67/72,902.33
  6. Step 6: Final answer
    x = 26,247.49

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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.