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Finding the Fourth Proportional to 62,109.72, 85,707.09 and 35,252.78

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Solution

The fourth proportional to 62,109.72, 85,707.09 and 35,252.78 is: 48,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,109.72 : 85,707.09 = 35,252.78 : x
  2. Step 2: Convert to fraction form
    62,109.72/85,707.09 = 35,252.78/x
  3. Step 3: Cross multiply
    62,109.72x = 85,707.09 × 35,252.78
  4. Step 4: Simplify right side
    62,109.72x = 3,021,412,759.67
  5. Step 5: Solve for x
    x = 3,021,412,759.67/62,109.72
  6. Step 6: Final answer
    x = 48,646.38

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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.