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Finding the Fourth Proportional to 78,584.03, 117,877.13 and 22,424.13

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Solution

The fourth proportional to 78,584.03, 117,877.13 and 22,424.13 is: 33,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,584.03 : 117,877.13 = 22,424.13 : x
  2. Step 2: Convert to fraction form
    78,584.03/117,877.13 = 22,424.13/x
  3. Step 3: Cross multiply
    78,584.03x = 117,877.13 × 22,424.13
  4. Step 4: Simplify right side
    78,584.03x = 2,643,291,571.62
  5. Step 5: Solve for x
    x = 2,643,291,571.62/78,584.03
  6. Step 6: Final answer
    x = 33,636.50

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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.