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Finding the Fourth Proportional to 74,000.20, 111,014.70 and 31,880.20

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Solution

The fourth proportional to 74,000.20, 111,014.70 and 31,880.20 is: 47,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000.20 : 111,014.70 = 31,880.20 : x
  2. Step 2: Convert to fraction form
    74,000.20/111,014.70 = 31,880.20/x
  3. Step 3: Cross multiply
    74,000.20x = 111,014.70 × 31,880.20
  4. Step 4: Simplify right side
    74,000.20x = 3,539,170,838.94
  5. Step 5: Solve for x
    x = 3,539,170,838.94/74,000.20
  6. Step 6: Final answer
    x = 47,826.50

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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.