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Finding the Fourth Proportional to 77,833.71, 107,413.16 and 46,029.87

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Solution

The fourth proportional to 77,833.71, 107,413.16 and 46,029.87 is: 63,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,833.71 : 107,413.16 = 46,029.87 : x
  2. Step 2: Convert to fraction form
    77,833.71/107,413.16 = 46,029.87/x
  3. Step 3: Cross multiply
    77,833.71x = 107,413.16 × 46,029.87
  4. Step 4: Simplify right side
    77,833.71x = 4,944,213,560.94
  5. Step 5: Solve for x
    x = 4,944,213,560.94/77,833.71
  6. Step 6: Final answer
    x = 63,522.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.