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Finding the Fourth Proportional to 78,223.88, 107,947.95 and 42,413.78

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Solution

The fourth proportional to 78,223.88, 107,947.95 and 42,413.78 is: 58,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.88 : 107,947.95 = 42,413.78 : x
  2. Step 2: Convert to fraction form
    78,223.88/107,947.95 = 42,413.78/x
  3. Step 3: Cross multiply
    78,223.88x = 107,947.95 × 42,413.78
  4. Step 4: Simplify right side
    78,223.88x = 4,578,480,602.75
  5. Step 5: Solve for x
    x = 4,578,480,602.75/78,223.88
  6. Step 6: Final answer
    x = 58,530.47

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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.