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Finding the Fourth Proportional to 55,406.96, 83,117.62 and 25,413.96

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Solution

The fourth proportional to 55,406.96, 83,117.62 and 25,413.96 is: 38,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,406.96 : 83,117.62 = 25,413.96 : x
  2. Step 2: Convert to fraction form
    55,406.96/83,117.62 = 25,413.96/x
  3. Step 3: Cross multiply
    55,406.96x = 83,117.62 × 25,413.96
  4. Step 4: Simplify right side
    55,406.96x = 2,112,348,213.43
  5. Step 5: Solve for x
    x = 2,112,348,213.43/55,406.96
  6. Step 6: Final answer
    x = 38,124.24

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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.