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Finding the Fourth Proportional to 42,537.56, 63,806.34 and 11,372

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Solution

The fourth proportional to 42,537.56, 63,806.34 and 11,372 is: 17,058

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,537.56 : 63,806.34 = 11,372 : x
  2. Step 2: Convert to fraction form
    42,537.56/63,806.34 = 11,372/x
  3. Step 3: Cross multiply
    42,537.56x = 63,806.34 × 11,372
  4. Step 4: Simplify right side
    42,537.56x = 725,605,698.48
  5. Step 5: Solve for x
    x = 725,605,698.48/42,537.56
  6. Step 6: Final answer
    x = 17,058

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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.