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Finding the Fourth Proportional to 89,929.76, 134,909.24 and 33,774.24

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Solution

The fourth proportional to 89,929.76, 134,909.24 and 33,774.24 is: 50,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,929.76 : 134,909.24 = 33,774.24 : x
  2. Step 2: Convert to fraction form
    89,929.76/134,909.24 = 33,774.24/x
  3. Step 3: Cross multiply
    89,929.76x = 134,909.24 × 33,774.24
  4. Step 4: Simplify right side
    89,929.76x = 4,556,457,049.98
  5. Step 5: Solve for x
    x = 4,556,457,049.98/89,929.76
  6. Step 6: Final answer
    x = 50,666.84

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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.