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Finding the Fourth Proportional to 54,923.40, 75,799.02 and 31,054.32

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Solution

The fourth proportional to 54,923.40, 75,799.02 and 31,054.32 is: 42,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,923.40 : 75,799.02 = 31,054.32 : x
  2. Step 2: Convert to fraction form
    54,923.40/75,799.02 = 31,054.32/x
  3. Step 3: Cross multiply
    54,923.40x = 75,799.02 × 31,054.32
  4. Step 4: Simplify right side
    54,923.40x = 2,353,887,022.77
  5. Step 5: Solve for x
    x = 2,353,887,022.77/54,923.40
  6. Step 6: Final answer
    x = 42,857.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.