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Finding the Fourth Proportional to 38,111.50, 57,170.49 and 10,409.50

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Solution

The fourth proportional to 38,111.50, 57,170.49 and 10,409.50 is: 15,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,111.50 : 57,170.49 = 10,409.50 : x
  2. Step 2: Convert to fraction form
    38,111.50/57,170.49 = 10,409.50/x
  3. Step 3: Cross multiply
    38,111.50x = 57,170.49 × 10,409.50
  4. Step 4: Simplify right side
    38,111.50x = 595,116,215.66
  5. Step 5: Solve for x
    x = 595,116,215.66/38,111.50
  6. Step 6: Final answer
    x = 15,615.13

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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.