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Finding the Fourth Proportional to 82,806.80, 114,288.35 and 48,813.35

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Solution

The fourth proportional to 82,806.80, 114,288.35 and 48,813.35 is: 67,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,806.80 : 114,288.35 = 48,813.35 : x
  2. Step 2: Convert to fraction form
    82,806.80/114,288.35 = 48,813.35/x
  3. Step 3: Cross multiply
    82,806.80x = 114,288.35 × 48,813.35
  4. Step 4: Simplify right side
    82,806.80x = 5,578,796,413.96
  5. Step 5: Solve for x
    x = 5,578,796,413.96/82,806.80
  6. Step 6: Final answer
    x = 67,371.24

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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.