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Finding the Fourth Proportional to 108,968.50, 163,462.14 and 30,082.72

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Solution

The fourth proportional to 108,968.50, 163,462.14 and 30,082.72 is: 45,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,968.50 : 163,462.14 = 30,082.72 : x
  2. Step 2: Convert to fraction form
    108,968.50/163,462.14 = 30,082.72/x
  3. Step 3: Cross multiply
    108,968.50x = 163,462.14 × 30,082.72
  4. Step 4: Simplify right side
    108,968.50x = 4,917,385,788.22
  5. Step 5: Solve for x
    x = 4,917,385,788.22/108,968.50
  6. Step 6: Final answer
    x = 45,126.67

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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.