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Finding the Fourth Proportional to 34,652.52, 51,973.38 and 11,278.80

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Solution

The fourth proportional to 34,652.52, 51,973.38 and 11,278.80 is: 16,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.52 : 51,973.38 = 11,278.80 : x
  2. Step 2: Convert to fraction form
    34,652.52/51,973.38 = 11,278.80/x
  3. Step 3: Cross multiply
    34,652.52x = 51,973.38 × 11,278.80
  4. Step 4: Simplify right side
    34,652.52x = 586,197,358.34
  5. Step 5: Solve for x
    x = 586,197,358.34/34,652.52
  6. Step 6: Final answer
    x = 16,916.44

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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.