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Finding the Fourth Proportional to 31,024.16, 46,462.12 and 16,963.16

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Solution

The fourth proportional to 31,024.16, 46,462.12 and 16,963.16 is: 25,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024.16 : 46,462.12 = 16,963.16 : x
  2. Step 2: Convert to fraction form
    31,024.16/46,462.12 = 16,963.16/x
  3. Step 3: Cross multiply
    31,024.16x = 46,462.12 × 16,963.16
  4. Step 4: Simplify right side
    31,024.16x = 788,144,375.50
  5. Step 5: Solve for x
    x = 788,144,375.50/31,024.16
  6. Step 6: Final answer
    x = 25,404.21

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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.