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Finding the Fourth Proportional to 37,058.00, 51,100.31 and 29,880.38

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Solution

The fourth proportional to 37,058.00, 51,100.31 and 29,880.38 is: 41,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,058.00 : 51,100.31 = 29,880.38 : x
  2. Step 2: Convert to fraction form
    37,058.00/51,100.31 = 29,880.38/x
  3. Step 3: Cross multiply
    37,058.00x = 51,100.31 × 29,880.38
  4. Step 4: Simplify right side
    37,058.00x = 1,526,896,276.01
  5. Step 5: Solve for x
    x = 1,526,896,276.01/37,058.00
  6. Step 6: Final answer
    x = 41,202.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.