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Finding the Fourth Proportional to 62,217.76, 85,858.64 and 33,924

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Solution

The fourth proportional to 62,217.76, 85,858.64 and 33,924 is: 46,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,217.76 : 85,858.64 = 33,924 : x
  2. Step 2: Convert to fraction form
    62,217.76/85,858.64 = 33,924/x
  3. Step 3: Cross multiply
    62,217.76x = 85,858.64 × 33,924
  4. Step 4: Simplify right side
    62,217.76x = 2,912,668,503.36
  5. Step 5: Solve for x
    x = 2,912,668,503.36/62,217.76
  6. Step 6: Final answer
    x = 46,814.10

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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.