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Finding the Fourth Proportional to 78,592, 117,891.24 and 23,188

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Solution

The fourth proportional to 78,592, 117,891.24 and 23,188 is: 34,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592 : 117,891.24 = 23,188 : x
  2. Step 2: Convert to fraction form
    78,592/117,891.24 = 23,188/x
  3. Step 3: Cross multiply
    78,592x = 117,891.24 × 23,188
  4. Step 4: Simplify right side
    78,592x = 2,733,662,073.12
  5. Step 5: Solve for x
    x = 2,733,662,073.12/78,592
  6. Step 6: Final answer
    x = 34,782.96

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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.