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Finding the Fourth Proportional to 92,584.92, 138,883.92 and 45,825.24

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Solution

The fourth proportional to 92,584.92, 138,883.92 and 45,825.24 is: 68,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,584.92 : 138,883.92 = 45,825.24 : x
  2. Step 2: Convert to fraction form
    92,584.92/138,883.92 = 45,825.24/x
  3. Step 3: Cross multiply
    92,584.92x = 138,883.92 × 45,825.24
  4. Step 4: Simplify right side
    92,584.92x = 6,364,388,966.14
  5. Step 5: Solve for x
    x = 6,364,388,966.14/92,584.92
  6. Step 6: Final answer
    x = 68,741.10

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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.