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Finding the Fourth Proportional to 52,413.20, 78,547.80 and 33,635.60

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Solution

The fourth proportional to 52,413.20, 78,547.80 and 33,635.60 is: 50,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,413.20 : 78,547.80 = 33,635.60 : x
  2. Step 2: Convert to fraction form
    52,413.20/78,547.80 = 33,635.60/x
  3. Step 3: Cross multiply
    52,413.20x = 78,547.80 × 33,635.60
  4. Step 4: Simplify right side
    52,413.20x = 2,642,002,381.68
  5. Step 5: Solve for x
    x = 2,642,002,381.68/52,413.20
  6. Step 6: Final answer
    x = 50,407.19

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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.