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Finding the Fourth Proportional to 78,584.59, 117,877.97 and 22,424.69

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Solution

The fourth proportional to 78,584.59, 117,877.97 and 22,424.69 is: 33,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,584.59 : 117,877.97 = 22,424.69 : x
  2. Step 2: Convert to fraction form
    78,584.59/117,877.97 = 22,424.69/x
  3. Step 3: Cross multiply
    78,584.59x = 117,877.97 × 22,424.69
  4. Step 4: Simplify right side
    78,584.59x = 2,643,376,622.77
  5. Step 5: Solve for x
    x = 2,643,376,622.77/78,584.59
  6. Step 6: Final answer
    x = 33,637.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.