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Finding the Fourth Proportional to 62,459.65, 86,193.61 and 34,165

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Solution

The fourth proportional to 62,459.65, 86,193.61 and 34,165 is: 47,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,459.65 : 86,193.61 = 34,165 : x
  2. Step 2: Convert to fraction form
    62,459.65/86,193.61 = 34,165/x
  3. Step 3: Cross multiply
    62,459.65x = 86,193.61 × 34,165
  4. Step 4: Simplify right side
    62,459.65x = 2,944,804,685.65
  5. Step 5: Solve for x
    x = 2,944,804,685.65/62,459.65
  6. Step 6: Final answer
    x = 47,147.31

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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.