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Finding the Fourth Proportional to 78,413.20, 117,619.80 and 52,032.40

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Solution

The fourth proportional to 78,413.20, 117,619.80 and 52,032.40 is: 78,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.20 : 117,619.80 = 52,032.40 : x
  2. Step 2: Convert to fraction form
    78,413.20/117,619.80 = 52,032.40/x
  3. Step 3: Cross multiply
    78,413.20x = 117,619.80 × 52,032.40
  4. Step 4: Simplify right side
    78,413.20x = 6,120,040,481.52
  5. Step 5: Solve for x
    x = 6,120,040,481.52/78,413.20
  6. Step 6: Final answer
    x = 78,048.60

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1.5x scale

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.