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Finding the Fourth Proportional to 72,764.38, 100,413.34 and 42,567.58

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Solution

The fourth proportional to 72,764.38, 100,413.34 and 42,567.58 is: 58,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764.38 : 100,413.34 = 42,567.58 : x
  2. Step 2: Convert to fraction form
    72,764.38/100,413.34 = 42,567.58/x
  3. Step 3: Cross multiply
    72,764.38x = 100,413.34 × 42,567.58
  4. Step 4: Simplify right side
    72,764.38x = 4,274,352,883.52
  5. Step 5: Solve for x
    x = 4,274,352,883.52/72,764.38
  6. Step 6: Final answer
    x = 58,742.38

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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.