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Finding the Fourth Proportional to 71,644.95, 107,467.29 and 19,054.49

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Solution

The fourth proportional to 71,644.95, 107,467.29 and 19,054.49 is: 28,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,644.95 : 107,467.29 = 19,054.49 : x
  2. Step 2: Convert to fraction form
    71,644.95/107,467.29 = 19,054.49/x
  3. Step 3: Cross multiply
    71,644.95x = 107,467.29 × 19,054.49
  4. Step 4: Simplify right side
    71,644.95x = 2,047,733,865.30
  5. Step 5: Solve for x
    x = 2,047,733,865.30/71,644.95
  6. Step 6: Final answer
    x = 28,581.69

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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.