Home / 31,902.46-47,854.14-12,182.10

Finding the Fourth Proportional to 31,902.46, 47,854.14 and 12,182.10

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Solution

The fourth proportional to 31,902.46, 47,854.14 and 12,182.10 is: 18,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.46 : 47,854.14 = 12,182.10 : x
  2. Step 2: Convert to fraction form
    31,902.46/47,854.14 = 12,182.10/x
  3. Step 3: Cross multiply
    31,902.46x = 47,854.14 × 12,182.10
  4. Step 4: Simplify right side
    31,902.46x = 582,963,762.28
  5. Step 5: Solve for x
    x = 582,963,762.28/31,902.46
  6. Step 6: Final answer
    x = 18,273.32

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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.