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Finding the Fourth Proportional to 75,042.42, 103,016.26 and 64,413.60

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Solution

The fourth proportional to 75,042.42, 103,016.26 and 64,413.60 is: 88,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,042.42 : 103,016.26 = 64,413.60 : x
  2. Step 2: Convert to fraction form
    75,042.42/103,016.26 = 64,413.60/x
  3. Step 3: Cross multiply
    75,042.42x = 103,016.26 × 64,413.60
  4. Step 4: Simplify right side
    75,042.42x = 6,635,648,165.14
  5. Step 5: Solve for x
    x = 6,635,648,165.14/75,042.42
  6. Step 6: Final answer
    x = 88,425.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.