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Finding the Fourth Proportional to 54,857.66, 75,682.13 and 31,883.66

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Solution

The fourth proportional to 54,857.66, 75,682.13 and 31,883.66 is: 43,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,857.66 : 75,682.13 = 31,883.66 : x
  2. Step 2: Convert to fraction form
    54,857.66/75,682.13 = 31,883.66/x
  3. Step 3: Cross multiply
    54,857.66x = 75,682.13 × 31,883.66
  4. Step 4: Simplify right side
    54,857.66x = 2,413,023,301.00
  5. Step 5: Solve for x
    x = 2,413,023,301.00/54,857.66
  6. Step 6: Final answer
    x = 43,986.99

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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.