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Finding the Fourth Proportional to 78,221.38, 107,944.50 and 42,411.28

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Solution

The fourth proportional to 78,221.38, 107,944.50 and 42,411.28 is: 58,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221.38 : 107,944.50 = 42,411.28 : x
  2. Step 2: Convert to fraction form
    78,221.38/107,944.50 = 42,411.28/x
  3. Step 3: Cross multiply
    78,221.38x = 107,944.50 × 42,411.28
  4. Step 4: Simplify right side
    78,221.38x = 4,578,064,413.96
  5. Step 5: Solve for x
    x = 4,578,064,413.96/78,221.38
  6. Step 6: Final answer
    x = 58,527.02

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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.