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Finding the Fourth Proportional to 31,624.74, 47,431.71 and 10,562.39

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Solution

The fourth proportional to 31,624.74, 47,431.71 and 10,562.39 is: 15,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.74 : 47,431.71 = 10,562.39 : x
  2. Step 2: Convert to fraction form
    31,624.74/47,431.71 = 10,562.39/x
  3. Step 3: Cross multiply
    31,624.74x = 47,431.71 × 10,562.39
  4. Step 4: Simplify right side
    31,624.74x = 500,991,982.23
  5. Step 5: Solve for x
    x = 500,991,982.23/31,624.74
  6. Step 6: Final answer
    x = 15,841.77

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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.