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Finding the Fourth Proportional to 56,359.49, 84,570.35 and 31,413.58

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Solution

The fourth proportional to 56,359.49, 84,570.35 and 31,413.58 is: 47,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,359.49 : 84,570.35 = 31,413.58 : x
  2. Step 2: Convert to fraction form
    56,359.49/84,570.35 = 31,413.58/x
  3. Step 3: Cross multiply
    56,359.49x = 84,570.35 × 31,413.58
  4. Step 4: Simplify right side
    56,359.49x = 2,656,657,086.86
  5. Step 5: Solve for x
    x = 2,656,657,086.86/56,359.49
  6. Step 6: Final answer
    x = 47,137.71

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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.