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Finding the Fourth Proportional to 82,650.56, 114,058.56 and 49,110.08

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Solution

The fourth proportional to 82,650.56, 114,058.56 and 49,110.08 is: 67,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,650.56 : 114,058.56 = 49,110.08 : x
  2. Step 2: Convert to fraction form
    82,650.56/114,058.56 = 49,110.08/x
  3. Step 3: Cross multiply
    82,650.56x = 114,058.56 × 49,110.08
  4. Step 4: Simplify right side
    82,650.56x = 5,601,425,006.28
  5. Step 5: Solve for x
    x = 5,601,425,006.28/82,650.56
  6. Step 6: Final answer
    x = 67,772.38

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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.