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Finding the Fourth Proportional to 81,900.40, 113,022.18 and 46,091

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Solution

The fourth proportional to 81,900.40, 113,022.18 and 46,091 is: 63,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,900.40 : 113,022.18 = 46,091 : x
  2. Step 2: Convert to fraction form
    81,900.40/113,022.18 = 46,091/x
  3. Step 3: Cross multiply
    81,900.40x = 113,022.18 × 46,091
  4. Step 4: Simplify right side
    81,900.40x = 5,209,305,298.38
  5. Step 5: Solve for x
    x = 5,209,305,298.38/81,900.40
  6. Step 6: Final answer
    x = 63,605.37

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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.