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Finding the Fourth Proportional to 51,962.24, 77,950.24 and 16,890

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Solution

The fourth proportional to 51,962.24, 77,950.24 and 16,890 is: 25,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962.24 : 77,950.24 = 16,890 : x
  2. Step 2: Convert to fraction form
    51,962.24/77,950.24 = 16,890/x
  3. Step 3: Cross multiply
    51,962.24x = 77,950.24 × 16,890
  4. Step 4: Simplify right side
    51,962.24x = 1,316,579,553.60
  5. Step 5: Solve for x
    x = 1,316,579,553.60/51,962.24
  6. Step 6: Final answer
    x = 25,337.24

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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.