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Finding the Fourth Proportional to 78,592.94, 117,893.32 and 22,441.38

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Solution

The fourth proportional to 78,592.94, 117,893.32 and 22,441.38 is: 33,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592.94 : 117,893.32 = 22,441.38 : x
  2. Step 2: Convert to fraction form
    78,592.94/117,893.32 = 22,441.38/x
  3. Step 3: Cross multiply
    78,592.94x = 117,893.32 × 22,441.38
  4. Step 4: Simplify right side
    78,592.94x = 2,645,688,793.58
  5. Step 5: Solve for x
    x = 2,645,688,793.58/78,592.94
  6. Step 6: Final answer
    x = 33,663.19

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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.