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Finding the Fourth Proportional to 52,413.86, 78,633.09 and 17,353.50

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Solution

The fourth proportional to 52,413.86, 78,633.09 and 17,353.50 is: 26,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,413.86 : 78,633.09 = 17,353.50 : x
  2. Step 2: Convert to fraction form
    52,413.86/78,633.09 = 17,353.50/x
  3. Step 3: Cross multiply
    52,413.86x = 78,633.09 × 17,353.50
  4. Step 4: Simplify right side
    52,413.86x = 1,364,559,327.32
  5. Step 5: Solve for x
    x = 1,364,559,327.32/52,413.86
  6. Step 6: Final answer
    x = 26,034.32

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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.