Home / 31,883.85-47,823.93-12,164.40

Finding the Fourth Proportional to 31,883.85, 47,823.93 and 12,164.40

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Solution

The fourth proportional to 31,883.85, 47,823.93 and 12,164.40 is: 18,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.85 : 47,823.93 = 12,164.40 : x
  2. Step 2: Convert to fraction form
    31,883.85/47,823.93 = 12,164.40/x
  3. Step 3: Cross multiply
    31,883.85x = 47,823.93 × 12,164.40
  4. Step 4: Simplify right side
    31,883.85x = 581,749,414.09
  5. Step 5: Solve for x
    x = 581,749,414.09/31,883.85
  6. Step 6: Final answer
    x = 18,245.90

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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.