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Finding the Fourth Proportional to 57,782, 86,673.02 and 16,229

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Solution

The fourth proportional to 57,782, 86,673.02 and 16,229 is: 24,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782 : 86,673.02 = 16,229 : x
  2. Step 2: Convert to fraction form
    57,782/86,673.02 = 16,229/x
  3. Step 3: Cross multiply
    57,782x = 86,673.02 × 16,229
  4. Step 4: Simplify right side
    57,782x = 1,406,616,441.58
  5. Step 5: Solve for x
    x = 1,406,616,441.58/57,782
  6. Step 6: Final answer
    x = 24,343.51

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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.