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Finding the Fourth Proportional to 75,413.16, 104,068.26 and 41,877

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Solution

The fourth proportional to 75,413.16, 104,068.26 and 41,877 is: 57,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.16 : 104,068.26 = 41,877 : x
  2. Step 2: Convert to fraction form
    75,413.16/104,068.26 = 41,877/x
  3. Step 3: Cross multiply
    75,413.16x = 104,068.26 × 41,877
  4. Step 4: Simplify right side
    75,413.16x = 4,358,066,524.02
  5. Step 5: Solve for x
    x = 4,358,066,524.02/75,413.16
  6. Step 6: Final answer
    x = 57,789.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.