Home / 31,853.66-47,782.31-9,667.76

Finding the Fourth Proportional to 31,853.66, 47,782.31 and 9,667.76

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Solution

The fourth proportional to 31,853.66, 47,782.31 and 9,667.76 is: 14,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.66 : 47,782.31 = 9,667.76 : x
  2. Step 2: Convert to fraction form
    31,853.66/47,782.31 = 9,667.76/x
  3. Step 3: Cross multiply
    31,853.66x = 47,782.31 × 9,667.76
  4. Step 4: Simplify right side
    31,853.66x = 461,947,618.08
  5. Step 5: Solve for x
    x = 461,947,618.08/31,853.66
  6. Step 6: Final answer
    x = 14,502.19

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Why These Related Problems?

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