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Finding the Fourth Proportional to 83,146.62, 114,738.04 and 45,413.58

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Solution

The fourth proportional to 83,146.62, 114,738.04 and 45,413.58 is: 62,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,146.62 : 114,738.04 = 45,413.58 : x
  2. Step 2: Convert to fraction form
    83,146.62/114,738.04 = 45,413.58/x
  3. Step 3: Cross multiply
    83,146.62x = 114,738.04 × 45,413.58
  4. Step 4: Simplify right side
    83,146.62x = 5,210,665,158.58
  5. Step 5: Solve for x
    x = 5,210,665,158.58/83,146.62
  6. Step 6: Final answer
    x = 62,668.39

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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.