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Finding the Fourth Proportional to 61,193.68, 84,448.60 and 34,338.14

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Solution

The fourth proportional to 61,193.68, 84,448.60 and 34,338.14 is: 47,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,193.68 : 84,448.60 = 34,338.14 : x
  2. Step 2: Convert to fraction form
    61,193.68/84,448.60 = 34,338.14/x
  3. Step 3: Cross multiply
    61,193.68x = 84,448.60 × 34,338.14
  4. Step 4: Simplify right side
    61,193.68x = 2,899,807,849.60
  5. Step 5: Solve for x
    x = 2,899,807,849.60/61,193.68
  6. Step 6: Final answer
    x = 47,387.37

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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.