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Finding the Fourth Proportional to 48,107.86, 66,390.92 and 27,412

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Solution

The fourth proportional to 48,107.86, 66,390.92 and 27,412 is: 37,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,107.86 : 66,390.92 = 27,412 : x
  2. Step 2: Convert to fraction form
    48,107.86/66,390.92 = 27,412/x
  3. Step 3: Cross multiply
    48,107.86x = 66,390.92 × 27,412
  4. Step 4: Simplify right side
    48,107.86x = 1,819,907,899.04
  5. Step 5: Solve for x
    x = 1,819,907,899.04/48,107.86
  6. Step 6: Final answer
    x = 37,829.74

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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.