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Finding the Fourth Proportional to 48,488.36, 72,766.02 and 31,856.36

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Solution

The fourth proportional to 48,488.36, 72,766.02 and 31,856.36 is: 47,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,488.36 : 72,766.02 = 31,856.36 : x
  2. Step 2: Convert to fraction form
    48,488.36/72,766.02 = 31,856.36/x
  3. Step 3: Cross multiply
    48,488.36x = 72,766.02 × 31,856.36
  4. Step 4: Simplify right side
    48,488.36x = 2,318,060,528.89
  5. Step 5: Solve for x
    x = 2,318,060,528.89/48,488.36
  6. Step 6: Final answer
    x = 47,806.54

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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.