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Finding the Fourth Proportional to 34,549, 51,752.86 and 16,963.72

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Solution

The fourth proportional to 34,549, 51,752.86 and 16,963.72 is: 25,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,549 : 51,752.86 = 16,963.72 : x
  2. Step 2: Convert to fraction form
    34,549/51,752.86 = 16,963.72/x
  3. Step 3: Cross multiply
    34,549x = 51,752.86 × 16,963.72
  4. Step 4: Simplify right side
    34,549x = 877,921,026.24
  5. Step 5: Solve for x
    x = 877,921,026.24/34,549
  6. Step 6: Final answer
    x = 25,410.90

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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.