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Finding the Fourth Proportional to 52,227.60, 78,354.90 and 22,638.60

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Solution

The fourth proportional to 52,227.60, 78,354.90 and 22,638.60 is: 33,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,227.60 : 78,354.90 = 22,638.60 : x
  2. Step 2: Convert to fraction form
    52,227.60/78,354.90 = 22,638.60/x
  3. Step 3: Cross multiply
    52,227.60x = 78,354.90 × 22,638.60
  4. Step 4: Simplify right side
    52,227.60x = 1,773,845,239.14
  5. Step 5: Solve for x
    x = 1,773,845,239.14/52,227.60
  6. Step 6: Final answer
    x = 33,963.75

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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.