Home / 82,206.97-113,332.64-51,977.16

Finding the Fourth Proportional to 82,206.97, 113,332.64 and 51,977.16

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Solution

The fourth proportional to 82,206.97, 113,332.64 and 51,977.16 is: 71,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.97 : 113,332.64 = 51,977.16 : x
  2. Step 2: Convert to fraction form
    82,206.97/113,332.64 = 51,977.16/x
  3. Step 3: Cross multiply
    82,206.97x = 113,332.64 × 51,977.16
  4. Step 4: Simplify right side
    82,206.97x = 5,890,708,502.62
  5. Step 5: Solve for x
    x = 5,890,708,502.62/82,206.97
  6. Step 6: Final answer
    x = 71,657.05

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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.