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Finding the Fourth Proportional to 92,446.48, 138,733.08 and 33,282.64

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Solution

The fourth proportional to 92,446.48, 138,733.08 and 33,282.64 is: 49,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,446.48 : 138,733.08 = 33,282.64 : x
  2. Step 2: Convert to fraction form
    92,446.48/138,733.08 = 33,282.64/x
  3. Step 3: Cross multiply
    92,446.48x = 138,733.08 × 33,282.64
  4. Step 4: Simplify right side
    92,446.48x = 4,617,403,157.73
  5. Step 5: Solve for x
    x = 4,617,403,157.73/92,446.48
  6. Step 6: Final answer
    x = 49,946.77

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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.