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Finding the Fourth Proportional to 62,102, 85,700.76 and 33,806

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Solution

The fourth proportional to 62,102, 85,700.76 and 33,806 is: 46,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,102 : 85,700.76 = 33,806 : x
  2. Step 2: Convert to fraction form
    62,102/85,700.76 = 33,806/x
  3. Step 3: Cross multiply
    62,102x = 85,700.76 × 33,806
  4. Step 4: Simplify right side
    62,102x = 2,897,199,892.56
  5. Step 5: Solve for x
    x = 2,897,199,892.56/62,102
  6. Step 6: Final answer
    x = 46,652.28

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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.