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Finding the Fourth Proportional to 41,658.84, 62,488.08 and 10,494

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Solution

The fourth proportional to 41,658.84, 62,488.08 and 10,494 is: 15,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658.84 : 62,488.08 = 10,494 : x
  2. Step 2: Convert to fraction form
    41,658.84/62,488.08 = 10,494/x
  3. Step 3: Cross multiply
    41,658.84x = 62,488.08 × 10,494
  4. Step 4: Simplify right side
    41,658.84x = 655,749,911.52
  5. Step 5: Solve for x
    x = 655,749,911.52/41,658.84
  6. Step 6: Final answer
    x = 15,740.95

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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.