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Finding the Fourth Proportional to 78,388.50, 117,602.28 and 22,984.50

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Solution

The fourth proportional to 78,388.50, 117,602.28 and 22,984.50 is: 34,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388.50 : 117,602.28 = 22,984.50 : x
  2. Step 2: Convert to fraction form
    78,388.50/117,602.28 = 22,984.50/x
  3. Step 3: Cross multiply
    78,388.50x = 117,602.28 × 22,984.50
  4. Step 4: Simplify right side
    78,388.50x = 2,703,029,604.66
  5. Step 5: Solve for x
    x = 2,703,029,604.66/78,388.50
  6. Step 6: Final answer
    x = 34,482.48

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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.