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Finding the Fourth Proportional to 82,365.91, 113,664.12 and 46,066.97

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Solution

The fourth proportional to 82,365.91, 113,664.12 and 46,066.97 is: 63,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365.91 : 113,664.12 = 46,066.97 : x
  2. Step 2: Convert to fraction form
    82,365.91/113,664.12 = 46,066.97/x
  3. Step 3: Cross multiply
    82,365.91x = 113,664.12 × 46,066.97
  4. Step 4: Simplify right side
    82,365.91x = 5,236,161,606.12
  5. Step 5: Solve for x
    x = 5,236,161,606.12/82,365.91
  6. Step 6: Final answer
    x = 63,571.95

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1.5x scale

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.