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Finding the Fourth Proportional to 64,876.68, 89,533.35 and 36,202.68

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Solution

The fourth proportional to 64,876.68, 89,533.35 and 36,202.68 is: 49,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,876.68 : 89,533.35 = 36,202.68 : x
  2. Step 2: Convert to fraction form
    64,876.68/89,533.35 = 36,202.68/x
  3. Step 3: Cross multiply
    64,876.68x = 89,533.35 × 36,202.68
  4. Step 4: Simplify right side
    64,876.68x = 3,241,347,219.38
  5. Step 5: Solve for x
    x = 3,241,347,219.38/64,876.68
  6. Step 6: Final answer
    x = 49,961.67

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Why These Related Problems?

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