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Finding the Fourth Proportional to 82,973.22, 114,491.22 and 47,155.56

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Solution

The fourth proportional to 82,973.22, 114,491.22 and 47,155.56 is: 65,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,973.22 : 114,491.22 = 47,155.56 : x
  2. Step 2: Convert to fraction form
    82,973.22/114,491.22 = 47,155.56/x
  3. Step 3: Cross multiply
    82,973.22x = 114,491.22 × 47,155.56
  4. Step 4: Simplify right side
    82,973.22x = 5,398,897,594.18
  5. Step 5: Solve for x
    x = 5,398,897,594.18/82,973.22
  6. Step 6: Final answer
    x = 65,067.95

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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.