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Finding the Fourth Proportional to 70,678.64, 97,537.28 and 38,413.26

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Solution

The fourth proportional to 70,678.64, 97,537.28 and 38,413.26 is: 53,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.64 : 97,537.28 = 38,413.26 : x
  2. Step 2: Convert to fraction form
    70,678.64/97,537.28 = 38,413.26/x
  3. Step 3: Cross multiply
    70,678.64x = 97,537.28 × 38,413.26
  4. Step 4: Simplify right side
    70,678.64x = 3,746,724,896.33
  5. Step 5: Solve for x
    x = 3,746,724,896.33/70,678.64
  6. Step 6: Final answer
    x = 53,010.71

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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.