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Finding the Fourth Proportional to 62,442.99, 86,172 and 34,148.07

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Solution

The fourth proportional to 62,442.99, 86,172 and 34,148.07 is: 47,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,442.99 : 86,172 = 34,148.07 : x
  2. Step 2: Convert to fraction form
    62,442.99/86,172 = 34,148.07/x
  3. Step 3: Cross multiply
    62,442.99x = 86,172 × 34,148.07
  4. Step 4: Simplify right side
    62,442.99x = 2,942,607,488.04
  5. Step 5: Solve for x
    x = 2,942,607,488.04/62,442.99
  6. Step 6: Final answer
    x = 47,124.71

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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.