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Finding the Fourth Proportional to 46,846.43, 64,642.62 and 27,727.04

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Solution

The fourth proportional to 46,846.43, 64,642.62 and 27,727.04 is: 38,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,846.43 : 64,642.62 = 27,727.04 : x
  2. Step 2: Convert to fraction form
    46,846.43/64,642.62 = 27,727.04/x
  3. Step 3: Cross multiply
    46,846.43x = 64,642.62 × 27,727.04
  4. Step 4: Simplify right side
    46,846.43x = 1,792,348,187.23
  5. Step 5: Solve for x
    x = 1,792,348,187.23/46,846.43
  6. Step 6: Final answer
    x = 38,260.08

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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.