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Finding the Fourth Proportional to 34,064.01, 51,022.17 and 16,497

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Solution

The fourth proportional to 34,064.01, 51,022.17 and 16,497 is: 24,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064.01 : 51,022.17 = 16,497 : x
  2. Step 2: Convert to fraction form
    34,064.01/51,022.17 = 16,497/x
  3. Step 3: Cross multiply
    34,064.01x = 51,022.17 × 16,497
  4. Step 4: Simplify right side
    34,064.01x = 841,712,738.49
  5. Step 5: Solve for x
    x = 841,712,738.49/34,064.01
  6. Step 6: Final answer
    x = 24,709.74

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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.