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Finding the Fourth Proportional to 54,946.70, 75,826.02 and 31,073.84

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Solution

The fourth proportional to 54,946.70, 75,826.02 and 31,073.84 is: 42,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946.70 : 75,826.02 = 31,073.84 : x
  2. Step 2: Convert to fraction form
    54,946.70/75,826.02 = 31,073.84/x
  3. Step 3: Cross multiply
    54,946.70x = 75,826.02 × 31,073.84
  4. Step 4: Simplify right side
    54,946.70x = 2,356,205,613.32
  5. Step 5: Solve for x
    x = 2,356,205,613.32/54,946.70
  6. Step 6: Final answer
    x = 42,881.66

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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.