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Finding the Fourth Proportional to 72,815.52, 109,241.52 and 22,893.60

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Solution

The fourth proportional to 72,815.52, 109,241.52 and 22,893.60 is: 34,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,815.52 : 109,241.52 = 22,893.60 : x
  2. Step 2: Convert to fraction form
    72,815.52/109,241.52 = 22,893.60/x
  3. Step 3: Cross multiply
    72,815.52x = 109,241.52 × 22,893.60
  4. Step 4: Simplify right side
    72,815.52x = 2,500,931,662.27
  5. Step 5: Solve for x
    x = 2,500,931,662.27/72,815.52
  6. Step 6: Final answer
    x = 34,346.13

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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.