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Finding the Fourth Proportional to 83,129.44, 114,682.08 and 49,576

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Solution

The fourth proportional to 83,129.44, 114,682.08 and 49,576 is: 68,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.44 : 114,682.08 = 49,576 : x
  2. Step 2: Convert to fraction form
    83,129.44/114,682.08 = 49,576/x
  3. Step 3: Cross multiply
    83,129.44x = 114,682.08 × 49,576
  4. Step 4: Simplify right side
    83,129.44x = 5,685,478,798.08
  5. Step 5: Solve for x
    x = 5,685,478,798.08/83,129.44
  6. Step 6: Final answer
    x = 68,393.08

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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.