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Finding the Fourth Proportional to 67,823, 93,595.74 and 41,327

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Solution

The fourth proportional to 67,823, 93,595.74 and 41,327 is: 57,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,823 : 93,595.74 = 41,327 : x
  2. Step 2: Convert to fraction form
    67,823/93,595.74 = 41,327/x
  3. Step 3: Cross multiply
    67,823x = 93,595.74 × 41,327
  4. Step 4: Simplify right side
    67,823x = 3,868,031,146.98
  5. Step 5: Solve for x
    x = 3,868,031,146.98/67,823
  6. Step 6: Final answer
    x = 57,031.26

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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.