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Finding the Fourth Proportional to 47,436, 65,459.12 and 26,214

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Solution

The fourth proportional to 47,436, 65,459.12 and 26,214 is: 36,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,436 : 65,459.12 = 26,214 : x
  2. Step 2: Convert to fraction form
    47,436/65,459.12 = 26,214/x
  3. Step 3: Cross multiply
    47,436x = 65,459.12 × 26,214
  4. Step 4: Simplify right side
    47,436x = 1,715,945,371.68
  5. Step 5: Solve for x
    x = 1,715,945,371.68/47,436
  6. Step 6: Final answer
    x = 36,173.91

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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.