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Finding the Fourth Proportional to 47,990.72, 72,023.04 and 31,346.24

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Solution

The fourth proportional to 47,990.72, 72,023.04 and 31,346.24 is: 47,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,990.72 : 72,023.04 = 31,346.24 : x
  2. Step 2: Convert to fraction form
    47,990.72/72,023.04 = 31,346.24/x
  3. Step 3: Cross multiply
    47,990.72x = 72,023.04 × 31,346.24
  4. Step 4: Simplify right side
    47,990.72x = 2,257,651,497.37
  5. Step 5: Solve for x
    x = 2,257,651,497.37/47,990.72
  6. Step 6: Final answer
    x = 47,043.50

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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.