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Finding the Fourth Proportional to 89,950.56, 134,928 and 30,785.84

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Solution

The fourth proportional to 89,950.56, 134,928 and 30,785.84 is: 46,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,950.56 : 134,928 = 30,785.84 : x
  2. Step 2: Convert to fraction form
    89,950.56/134,928 = 30,785.84/x
  3. Step 3: Cross multiply
    89,950.56x = 134,928 × 30,785.84
  4. Step 4: Simplify right side
    89,950.56x = 4,153,871,819.52
  5. Step 5: Solve for x
    x = 4,153,871,819.52/89,950.56
  6. Step 6: Final answer
    x = 46,179.50

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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.