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Finding the Fourth Proportional to 47,998.72, 72,035.04 and 31,354.24

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Solution

The fourth proportional to 47,998.72, 72,035.04 and 31,354.24 is: 47,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,998.72 : 72,035.04 = 31,354.24 : x
  2. Step 2: Convert to fraction form
    47,998.72/72,035.04 = 31,354.24/x
  3. Step 3: Cross multiply
    47,998.72x = 72,035.04 × 31,354.24
  4. Step 4: Simplify right side
    47,998.72x = 2,258,603,932.57
  5. Step 5: Solve for x
    x = 2,258,603,932.57/47,998.72
  6. Step 6: Final answer
    x = 47,055.50

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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.