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Finding the Fourth Proportional to 48,484.92, 66,947.94 and 31,497.60

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Solution

The fourth proportional to 48,484.92, 66,947.94 and 31,497.60 is: 43,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484.92 : 66,947.94 = 31,497.60 : x
  2. Step 2: Convert to fraction form
    48,484.92/66,947.94 = 31,497.60/x
  3. Step 3: Cross multiply
    48,484.92x = 66,947.94 × 31,497.60
  4. Step 4: Simplify right side
    48,484.92x = 2,108,699,434.94
  5. Step 5: Solve for x
    x = 2,108,699,434.94/48,484.92
  6. Step 6: Final answer
    x = 43,491.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.