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Finding the Fourth Proportional to 48,780.68, 72,733.84 and 47,894.96

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Solution

The fourth proportional to 48,780.68, 72,733.84 and 47,894.96 is: 71,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,780.68 : 72,733.84 = 47,894.96 : x
  2. Step 2: Convert to fraction form
    48,780.68/72,733.84 = 47,894.96/x
  3. Step 3: Cross multiply
    48,780.68x = 72,733.84 × 47,894.96
  4. Step 4: Simplify right side
    48,780.68x = 3,483,584,357.45
  5. Step 5: Solve for x
    x = 3,483,584,357.45/48,780.68
  6. Step 6: Final answer
    x = 71,413.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.