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Finding the Fourth Proportional to 78,508.50, 117,764.04 and 22,350

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Solution

The fourth proportional to 78,508.50, 117,764.04 and 22,350 is: 33,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.50 : 117,764.04 = 22,350 : x
  2. Step 2: Convert to fraction form
    78,508.50/117,764.04 = 22,350/x
  3. Step 3: Cross multiply
    78,508.50x = 117,764.04 × 22,350
  4. Step 4: Simplify right side
    78,508.50x = 2,632,026,294
  5. Step 5: Solve for x
    x = 2,632,026,294/78,508.50
  6. Step 6: Final answer
    x = 33,525.37

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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.