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Finding the Fourth Proportional to 65,330.34, 97,871.87 and 38,596.39

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Solution

The fourth proportional to 65,330.34, 97,871.87 and 38,596.39 is: 57,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,330.34 : 97,871.87 = 38,596.39 : x
  2. Step 2: Convert to fraction form
    65,330.34/97,871.87 = 38,596.39/x
  3. Step 3: Cross multiply
    65,330.34x = 97,871.87 × 38,596.39
  4. Step 4: Simplify right side
    65,330.34x = 3,777,500,864.55
  5. Step 5: Solve for x
    x = 3,777,500,864.55/65,330.34
  6. Step 6: Final answer
    x = 57,821.54

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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.