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Finding the Fourth Proportional to 34,596, 51,857.10 and 14,876.10

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Solution

The fourth proportional to 34,596, 51,857.10 and 14,876.10 is: 22,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596 : 51,857.10 = 14,876.10 : x
  2. Step 2: Convert to fraction form
    34,596/51,857.10 = 14,876.10/x
  3. Step 3: Cross multiply
    34,596x = 51,857.10 × 14,876.10
  4. Step 4: Simplify right side
    34,596x = 771,431,405.31
  5. Step 5: Solve for x
    x = 771,431,405.31/34,596
  6. Step 6: Final answer
    x = 22,298.28

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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.