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Finding the Fourth Proportional to 34,652, 52,001.04 and 12,764

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Solution

The fourth proportional to 34,652, 52,001.04 and 12,764 is: 19,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652 : 52,001.04 = 12,764 : x
  2. Step 2: Convert to fraction form
    34,652/52,001.04 = 12,764/x
  3. Step 3: Cross multiply
    34,652x = 52,001.04 × 12,764
  4. Step 4: Simplify right side
    34,652x = 663,741,274.56
  5. Step 5: Solve for x
    x = 663,741,274.56/34,652
  6. Step 6: Final answer
    x = 19,154.49

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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.