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Finding the Fourth Proportional to 27,962.04, 41,950.32 and 10,432

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Solution

The fourth proportional to 27,962.04, 41,950.32 and 10,432 is: 15,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962.04 : 41,950.32 = 10,432 : x
  2. Step 2: Convert to fraction form
    27,962.04/41,950.32 = 10,432/x
  3. Step 3: Cross multiply
    27,962.04x = 41,950.32 × 10,432
  4. Step 4: Simplify right side
    27,962.04x = 437,625,738.24
  5. Step 5: Solve for x
    x = 437,625,738.24/27,962.04
  6. Step 6: Final answer
    x = 15,650.71

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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.