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Finding the Fourth Proportional to 41,678.84, 62,518.08 and 10,514

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Solution

The fourth proportional to 41,678.84, 62,518.08 and 10,514 is: 15,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678.84 : 62,518.08 = 10,514 : x
  2. Step 2: Convert to fraction form
    41,678.84/62,518.08 = 10,514/x
  3. Step 3: Cross multiply
    41,678.84x = 62,518.08 × 10,514
  4. Step 4: Simplify right side
    41,678.84x = 657,315,093.12
  5. Step 5: Solve for x
    x = 657,315,093.12/41,678.84
  6. Step 6: Final answer
    x = 15,770.95

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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.