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Finding the Fourth Proportional to 48,539.54, 66,978.66 and 27,023.90

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Solution

The fourth proportional to 48,539.54, 66,978.66 and 27,023.90 is: 37,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,539.54 : 66,978.66 = 27,023.90 : x
  2. Step 2: Convert to fraction form
    48,539.54/66,978.66 = 27,023.90/x
  3. Step 3: Cross multiply
    48,539.54x = 66,978.66 × 27,023.90
  4. Step 4: Simplify right side
    48,539.54x = 1,810,024,376.42
  5. Step 5: Solve for x
    x = 1,810,024,376.42/48,539.54
  6. Step 6: Final answer
    x = 37,289.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.