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Finding the Fourth Proportional to 83,657.12, 115,413.90 and 47,827.88

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Solution

The fourth proportional to 83,657.12, 115,413.90 and 47,827.88 is: 65,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.12 : 115,413.90 = 47,827.88 : x
  2. Step 2: Convert to fraction form
    83,657.12/115,413.90 = 47,827.88/x
  3. Step 3: Cross multiply
    83,657.12x = 115,413.90 × 47,827.88
  4. Step 4: Simplify right side
    83,657.12x = 5,520,002,159.53
  5. Step 5: Solve for x
    x = 5,520,002,159.53/83,657.12
  6. Step 6: Final answer
    x = 65,983.65

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1.5x scale

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.