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Finding the Fourth Proportional to 30,342.78, 41,876.67 and 17,767.50

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Solution

The fourth proportional to 30,342.78, 41,876.67 and 17,767.50 is: 24,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.78 : 41,876.67 = 17,767.50 : x
  2. Step 2: Convert to fraction form
    30,342.78/41,876.67 = 17,767.50/x
  3. Step 3: Cross multiply
    30,342.78x = 41,876.67 × 17,767.50
  4. Step 4: Simplify right side
    30,342.78x = 744,043,734.23
  5. Step 5: Solve for x
    x = 744,043,734.23/30,342.78
  6. Step 6: Final answer
    x = 24,521.28

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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.