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Finding the Fourth Proportional to 38,115.60, 57,166.44 and 10,413.36

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Solution

The fourth proportional to 38,115.60, 57,166.44 and 10,413.36 is: 15,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115.60 : 57,166.44 = 10,413.36 : x
  2. Step 2: Convert to fraction form
    38,115.60/57,166.44 = 10,413.36/x
  3. Step 3: Cross multiply
    38,115.60x = 57,166.44 × 10,413.36
  4. Step 4: Simplify right side
    38,115.60x = 595,294,719.64
  5. Step 5: Solve for x
    x = 595,294,719.64/38,115.60
  6. Step 6: Final answer
    x = 15,618.14

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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.