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Finding the Fourth Proportional to 83,146.36, 114,737.70 and 45,413.32

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Solution

The fourth proportional to 83,146.36, 114,737.70 and 45,413.32 is: 62,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,146.36 : 114,737.70 = 45,413.32 : x
  2. Step 2: Convert to fraction form
    83,146.36/114,737.70 = 45,413.32/x
  3. Step 3: Cross multiply
    83,146.36x = 114,737.70 × 45,413.32
  4. Step 4: Simplify right side
    83,146.36x = 5,210,619,886.16
  5. Step 5: Solve for x
    x = 5,210,619,886.16/83,146.36
  6. Step 6: Final answer
    x = 62,668.05

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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.