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Finding the Fourth Proportional to 64,380.81, 96,595.82 and 24,941

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Solution

The fourth proportional to 64,380.81, 96,595.82 and 24,941 is: 37,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,380.81 : 96,595.82 = 24,941 : x
  2. Step 2: Convert to fraction form
    64,380.81/96,595.82 = 24,941/x
  3. Step 3: Cross multiply
    64,380.81x = 96,595.82 × 24,941
  4. Step 4: Simplify right side
    64,380.81x = 2,409,196,346.62
  5. Step 5: Solve for x
    x = 2,409,196,346.62/64,380.81
  6. Step 6: Final answer
    x = 37,421.03

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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.