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Finding the Fourth Proportional to 78,562.53, 117,844.89 and 22,402.64

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Solution

The fourth proportional to 78,562.53, 117,844.89 and 22,402.64 is: 33,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,562.53 : 117,844.89 = 22,402.64 : x
  2. Step 2: Convert to fraction form
    78,562.53/117,844.89 = 22,402.64/x
  3. Step 3: Cross multiply
    78,562.53x = 117,844.89 × 22,402.64
  4. Step 4: Simplify right side
    78,562.53x = 2,640,036,941.12
  5. Step 5: Solve for x
    x = 2,640,036,941.12/78,562.53
  6. Step 6: Final answer
    x = 33,604.28

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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.