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Finding the Fourth Proportional to 38,047.15, 57,078.51 and 13,083.95

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Solution

The fourth proportional to 38,047.15, 57,078.51 and 13,083.95 is: 19,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.15 : 57,078.51 = 13,083.95 : x
  2. Step 2: Convert to fraction form
    38,047.15/57,078.51 = 13,083.95/x
  3. Step 3: Cross multiply
    38,047.15x = 57,078.51 × 13,083.95
  4. Step 4: Simplify right side
    38,047.15x = 746,812,370.91
  5. Step 5: Solve for x
    x = 746,812,370.91/38,047.15
  6. Step 6: Final answer
    x = 19,628.60

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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.