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Finding the Fourth Proportional to 31,794.36, 47,659.14 and 14,259.48

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Solution

The fourth proportional to 31,794.36, 47,659.14 and 14,259.48 is: 21,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.36 : 47,659.14 = 14,259.48 : x
  2. Step 2: Convert to fraction form
    31,794.36/47,659.14 = 14,259.48/x
  3. Step 3: Cross multiply
    31,794.36x = 47,659.14 × 14,259.48
  4. Step 4: Simplify right side
    31,794.36x = 679,594,553.65
  5. Step 5: Solve for x
    x = 679,594,553.65/31,794.36
  6. Step 6: Final answer
    x = 21,374.69

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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.