Home / 31,782.25-47,673.42-11,005.75

Finding the Fourth Proportional to 31,782.25, 47,673.42 and 11,005.75

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Solution

The fourth proportional to 31,782.25, 47,673.42 and 11,005.75 is: 16,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.25 : 47,673.42 = 11,005.75 : x
  2. Step 2: Convert to fraction form
    31,782.25/47,673.42 = 11,005.75/x
  3. Step 3: Cross multiply
    31,782.25x = 47,673.42 × 11,005.75
  4. Step 4: Simplify right side
    31,782.25x = 524,681,742.17
  5. Step 5: Solve for x
    x = 524,681,742.17/31,782.25
  6. Step 6: Final answer
    x = 16,508.64

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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.