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Finding the Fourth Proportional to 92,322.84, 138,498.80 and 32,367.84

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Solution

The fourth proportional to 92,322.84, 138,498.80 and 32,367.84 is: 48,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,322.84 : 138,498.80 = 32,367.84 : x
  2. Step 2: Convert to fraction form
    92,322.84/138,498.80 = 32,367.84/x
  3. Step 3: Cross multiply
    92,322.84x = 138,498.80 × 32,367.84
  4. Step 4: Simplify right side
    92,322.84x = 4,482,906,998.59
  5. Step 5: Solve for x
    x = 4,482,906,998.59/92,322.84
  6. Step 6: Final answer
    x = 48,556.86

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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.