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Finding the Fourth Proportional to 90,471.21, 135,686.16 and 34,317.56

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Solution

The fourth proportional to 90,471.21, 135,686.16 and 34,317.56 is: 51,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,471.21 : 135,686.16 = 34,317.56 : x
  2. Step 2: Convert to fraction form
    90,471.21/135,686.16 = 34,317.56/x
  3. Step 3: Cross multiply
    90,471.21x = 135,686.16 × 34,317.56
  4. Step 4: Simplify right side
    90,471.21x = 4,656,417,258.54
  5. Step 5: Solve for x
    x = 4,656,417,258.54/90,471.21
  6. Step 6: Final answer
    x = 51,468.50

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Why These Related Problems?

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