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Finding the Fourth Proportional to 55,878.96, 83,900.46 and 34,908.36

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Solution

The fourth proportional to 55,878.96, 83,900.46 and 34,908.36 is: 52,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,878.96 : 83,900.46 = 34,908.36 : x
  2. Step 2: Convert to fraction form
    55,878.96/83,900.46 = 34,908.36/x
  3. Step 3: Cross multiply
    55,878.96x = 83,900.46 × 34,908.36
  4. Step 4: Simplify right side
    55,878.96x = 2,928,827,461.85
  5. Step 5: Solve for x
    x = 2,928,827,461.85/55,878.96
  6. Step 6: Final answer
    x = 52,413.78

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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.