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Finding the Fourth Proportional to 46,229, 69,355.02 and 13,397

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Solution

The fourth proportional to 46,229, 69,355.02 and 13,397 is: 20,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,229 : 69,355.02 = 13,397 : x
  2. Step 2: Convert to fraction form
    46,229/69,355.02 = 13,397/x
  3. Step 3: Cross multiply
    46,229x = 69,355.02 × 13,397
  4. Step 4: Simplify right side
    46,229x = 929,149,202.94
  5. Step 5: Solve for x
    x = 929,149,202.94/46,229
  6. Step 6: Final answer
    x = 20,098.84

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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.