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Finding the Fourth Proportional to 53,658.10, 80,461.23 and 31,478.68

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Solution

The fourth proportional to 53,658.10, 80,461.23 and 31,478.68 is: 47,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658.10 : 80,461.23 = 31,478.68 : x
  2. Step 2: Convert to fraction form
    53,658.10/80,461.23 = 31,478.68/x
  3. Step 3: Cross multiply
    53,658.10x = 80,461.23 × 31,478.68
  4. Step 4: Simplify right side
    53,658.10x = 2,532,813,311.58
  5. Step 5: Solve for x
    x = 2,532,813,311.58/53,658.10
  6. Step 6: Final answer
    x = 47,202.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.