Home / 31,838.28-47,741-14,293.06

Finding the Fourth Proportional to 31,838.28, 47,741 and 14,293.06

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Solution

The fourth proportional to 31,838.28, 47,741 and 14,293.06 is: 21,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.28 : 47,741 = 14,293.06 : x
  2. Step 2: Convert to fraction form
    31,838.28/47,741 = 14,293.06/x
  3. Step 3: Cross multiply
    31,838.28x = 47,741 × 14,293.06
  4. Step 4: Simplify right side
    31,838.28x = 682,364,977.46
  5. Step 5: Solve for x
    x = 682,364,977.46/31,838.28
  6. Step 6: Final answer
    x = 21,432.22

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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.