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Finding the Fourth Proportional to 89,930.30, 135,004.80 and 45,534.20

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Solution

The fourth proportional to 89,930.30, 135,004.80 and 45,534.20 is: 68,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,930.30 : 135,004.80 = 45,534.20 : x
  2. Step 2: Convert to fraction form
    89,930.30/135,004.80 = 45,534.20/x
  3. Step 3: Cross multiply
    89,930.30x = 135,004.80 × 45,534.20
  4. Step 4: Simplify right side
    89,930.30x = 6,147,335,564.16
  5. Step 5: Solve for x
    x = 6,147,335,564.16/89,930.30
  6. Step 6: Final answer
    x = 68,356.67

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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.