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Finding the Fourth Proportional to 92,584.68, 138,883.50 and 45,825

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Solution

The fourth proportional to 92,584.68, 138,883.50 and 45,825 is: 68,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,584.68 : 138,883.50 = 45,825 : x
  2. Step 2: Convert to fraction form
    92,584.68/138,883.50 = 45,825/x
  3. Step 3: Cross multiply
    92,584.68x = 138,883.50 × 45,825
  4. Step 4: Simplify right side
    92,584.68x = 6,364,336,387.50
  5. Step 5: Solve for x
    x = 6,364,336,387.50/92,584.68
  6. Step 6: Final answer
    x = 68,740.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.