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Finding the Fourth Proportional to 42,616.25, 63,914.11 and 13,034.34

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Solution

The fourth proportional to 42,616.25, 63,914.11 and 13,034.34 is: 19,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,616.25 : 63,914.11 = 13,034.34 : x
  2. Step 2: Convert to fraction form
    42,616.25/63,914.11 = 13,034.34/x
  3. Step 3: Cross multiply
    42,616.25x = 63,914.11 × 13,034.34
  4. Step 4: Simplify right side
    42,616.25x = 833,077,953.55
  5. Step 5: Solve for x
    x = 833,077,953.55/42,616.25
  6. Step 6: Final answer
    x = 19,548.37

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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.