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Finding the Fourth Proportional to 42,665.60, 64,027.20 and 27,838.40

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Solution

The fourth proportional to 42,665.60, 64,027.20 and 27,838.40 is: 41,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,665.60 : 64,027.20 = 27,838.40 : x
  2. Step 2: Convert to fraction form
    42,665.60/64,027.20 = 27,838.40/x
  3. Step 3: Cross multiply
    42,665.60x = 64,027.20 × 27,838.40
  4. Step 4: Simplify right side
    42,665.60x = 1,782,414,804.48
  5. Step 5: Solve for x
    x = 1,782,414,804.48/42,665.60
  6. Step 6: Final answer
    x = 41,776.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.