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Finding the Fourth Proportional to 34,062.64, 51,413.89 and 34,062.64

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Solution

The fourth proportional to 34,062.64, 51,413.89 and 34,062.64 is: 51,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,062.64 : 51,413.89 = 34,062.64 : x
  2. Step 2: Convert to fraction form
    34,062.64/51,413.89 = 34,062.64/x
  3. Step 3: Cross multiply
    34,062.64x = 51,413.89 × 34,062.64
  4. Step 4: Simplify right side
    34,062.64x = 1,751,292,398.69
  5. Step 5: Solve for x
    x = 1,751,292,398.69/34,062.64
  6. Step 6: Final answer
    x = 51,413.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.