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Finding the Fourth Proportional to 52,349.50, 78,538.65 and 15,413.50

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Solution

The fourth proportional to 52,349.50, 78,538.65 and 15,413.50 is: 23,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,349.50 : 78,538.65 = 15,413.50 : x
  2. Step 2: Convert to fraction form
    52,349.50/78,538.65 = 15,413.50/x
  3. Step 3: Cross multiply
    52,349.50x = 78,538.65 × 15,413.50
  4. Step 4: Simplify right side
    52,349.50x = 1,210,555,481.78
  5. Step 5: Solve for x
    x = 1,210,555,481.78/52,349.50
  6. Step 6: Final answer
    x = 23,124.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.