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Finding the Fourth Proportional to 57,413.68, 79,197.84 and 35,865.96

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Solution

The fourth proportional to 57,413.68, 79,197.84 and 35,865.96 is: 49,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413.68 : 79,197.84 = 35,865.96 : x
  2. Step 2: Convert to fraction form
    57,413.68/79,197.84 = 35,865.96/x
  3. Step 3: Cross multiply
    57,413.68x = 79,197.84 × 35,865.96
  4. Step 4: Simplify right side
    57,413.68x = 2,840,506,561.53
  5. Step 5: Solve for x
    x = 2,840,506,561.53/57,413.68
  6. Step 6: Final answer
    x = 49,474.39

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Why These Related Problems?

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