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Finding the Fourth Proportional to 38,047.78, 57,083.84 and 15,863.50

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Solution

The fourth proportional to 38,047.78, 57,083.84 and 15,863.50 is: 23,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.78 : 57,083.84 = 15,863.50 : x
  2. Step 2: Convert to fraction form
    38,047.78/57,083.84 = 15,863.50/x
  3. Step 3: Cross multiply
    38,047.78x = 57,083.84 × 15,863.50
  4. Step 4: Simplify right side
    38,047.78x = 905,549,131.10
  5. Step 5: Solve for x
    x = 905,549,131.10/38,047.78
  6. Step 6: Final answer
    x = 23,800.32

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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.