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Finding the Fourth Proportional to 56,413.96, 77,849.94 and 31,262.92

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Solution

The fourth proportional to 56,413.96, 77,849.94 and 31,262.92 is: 43,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,413.96 : 77,849.94 = 31,262.92 : x
  2. Step 2: Convert to fraction form
    56,413.96/77,849.94 = 31,262.92/x
  3. Step 3: Cross multiply
    56,413.96x = 77,849.94 × 31,262.92
  4. Step 4: Simplify right side
    56,413.96x = 2,433,816,446.22
  5. Step 5: Solve for x
    x = 2,433,816,446.22/56,413.96
  6. Step 6: Final answer
    x = 43,142.10

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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.