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Finding the Fourth Proportional to 49,647.60, 68,502.24 and 30,775.68

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Solution

The fourth proportional to 49,647.60, 68,502.24 and 30,775.68 is: 42,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,647.60 : 68,502.24 = 30,775.68 : x
  2. Step 2: Convert to fraction form
    49,647.60/68,502.24 = 30,775.68/x
  3. Step 3: Cross multiply
    49,647.60x = 68,502.24 × 30,775.68
  4. Step 4: Simplify right side
    49,647.60x = 2,108,203,017.52
  5. Step 5: Solve for x
    x = 2,108,203,017.52/49,647.60
  6. Step 6: Final answer
    x = 42,463.34

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