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Finding the Fourth Proportional to 89,931.76, 134,912.24 and 33,776.24

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Solution

The fourth proportional to 89,931.76, 134,912.24 and 33,776.24 is: 50,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,931.76 : 134,912.24 = 33,776.24 : x
  2. Step 2: Convert to fraction form
    89,931.76/134,912.24 = 33,776.24/x
  3. Step 3: Cross multiply
    89,931.76x = 134,912.24 × 33,776.24
  4. Step 4: Simplify right side
    89,931.76x = 4,556,828,197.18
  5. Step 5: Solve for x
    x = 4,556,828,197.18/89,931.76
  6. Step 6: Final answer
    x = 50,669.84

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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.