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Finding the Fourth Proportional to 96,413.12, 133,065.54 and 73,708.40

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Solution

The fourth proportional to 96,413.12, 133,065.54 and 73,708.40 is: 101,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,413.12 : 133,065.54 = 73,708.40 : x
  2. Step 2: Convert to fraction form
    96,413.12/133,065.54 = 73,708.40/x
  3. Step 3: Cross multiply
    96,413.12x = 133,065.54 × 73,708.40
  4. Step 4: Simplify right side
    96,413.12x = 9,808,048,048.54
  5. Step 5: Solve for x
    x = 9,808,048,048.54/96,413.12
  6. Step 6: Final answer
    x = 101,729.39

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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.