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Finding the Fourth Proportional to 42,894.22, 64,346.97 and 15,872.87

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Solution

The fourth proportional to 42,894.22, 64,346.97 and 15,872.87 is: 23,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.22 : 64,346.97 = 15,872.87 : x
  2. Step 2: Convert to fraction form
    42,894.22/64,346.97 = 15,872.87/x
  3. Step 3: Cross multiply
    42,894.22x = 64,346.97 × 15,872.87
  4. Step 4: Simplify right side
    42,894.22x = 1,021,371,089.70
  5. Step 5: Solve for x
    x = 1,021,371,089.70/42,894.22
  6. Step 6: Final answer
    x = 23,811.39

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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.