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Finding the Fourth Proportional to 50,977.76, 76,009.48 and 49,027.28

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Solution

The fourth proportional to 50,977.76, 76,009.48 and 49,027.28 is: 73,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977.76 : 76,009.48 = 49,027.28 : x
  2. Step 2: Convert to fraction form
    50,977.76/76,009.48 = 49,027.28/x
  3. Step 3: Cross multiply
    50,977.76x = 76,009.48 × 49,027.28
  4. Step 4: Simplify right side
    50,977.76x = 3,726,538,058.61
  5. Step 5: Solve for x
    x = 3,726,538,058.61/50,977.76
  6. Step 6: Final answer
    x = 73,101.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.