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Finding the Fourth Proportional to 31,751.85, 47,627.93 and 8,059.40

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Solution

The fourth proportional to 31,751.85, 47,627.93 and 8,059.40 is: 12,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.85 : 47,627.93 = 8,059.40 : x
  2. Step 2: Convert to fraction form
    31,751.85/47,627.93 = 8,059.40/x
  3. Step 3: Cross multiply
    31,751.85x = 47,627.93 × 8,059.40
  4. Step 4: Simplify right side
    31,751.85x = 383,852,479.28
  5. Step 5: Solve for x
    x = 383,852,479.28/31,751.85
  6. Step 6: Final answer
    x = 12,089.14

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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.