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Finding the Fourth Proportional to 69,861.34, 96,408.14 and 38,030.16

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Solution

The fourth proportional to 69,861.34, 96,408.14 and 38,030.16 is: 52,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,861.34 : 96,408.14 = 38,030.16 : x
  2. Step 2: Convert to fraction form
    69,861.34/96,408.14 = 38,030.16/x
  3. Step 3: Cross multiply
    69,861.34x = 96,408.14 × 38,030.16
  4. Step 4: Simplify right side
    69,861.34x = 3,666,416,989.50
  5. Step 5: Solve for x
    x = 3,666,416,989.50/69,861.34
  6. Step 6: Final answer
    x = 52,481.34

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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.