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Finding the Fourth Proportional to 43,217, 64,845.02 and 24,749

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Solution

The fourth proportional to 43,217, 64,845.02 and 24,749 is: 37,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,217 : 64,845.02 = 24,749 : x
  2. Step 2: Convert to fraction form
    43,217/64,845.02 = 24,749/x
  3. Step 3: Cross multiply
    43,217x = 64,845.02 × 24,749
  4. Step 4: Simplify right side
    43,217x = 1,604,849,399.98
  5. Step 5: Solve for x
    x = 1,604,849,399.98/43,217
  6. Step 6: Final answer
    x = 37,134.68

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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.