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Finding the Fourth Proportional to 77,033.40, 115,550.10 and 53,413.80

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Solution

The fourth proportional to 77,033.40, 115,550.10 and 53,413.80 is: 80,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,033.40 : 115,550.10 = 53,413.80 : x
  2. Step 2: Convert to fraction form
    77,033.40/115,550.10 = 53,413.80/x
  3. Step 3: Cross multiply
    77,033.40x = 115,550.10 × 53,413.80
  4. Step 4: Simplify right side
    77,033.40x = 6,171,969,931.38
  5. Step 5: Solve for x
    x = 6,171,969,931.38/77,033.40
  6. Step 6: Final answer
    x = 80,120.70

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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.