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Finding the Fourth Proportional to 31,298.36, 46,947.56 and 7,924.79

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Solution

The fourth proportional to 31,298.36, 46,947.56 and 7,924.79 is: 11,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.36 : 46,947.56 = 7,924.79 : x
  2. Step 2: Convert to fraction form
    31,298.36/46,947.56 = 7,924.79/x
  3. Step 3: Cross multiply
    31,298.36x = 46,947.56 × 7,924.79
  4. Step 4: Simplify right side
    31,298.36x = 372,049,279.65
  5. Step 5: Solve for x
    x = 372,049,279.65/31,298.36
  6. Step 6: Final answer
    x = 11,887.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.