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Finding the Fourth Proportional to 31,558.68, 47,345.27 and 9,371.57

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Solution

The fourth proportional to 31,558.68, 47,345.27 and 9,371.57 is: 14,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,558.68 : 47,345.27 = 9,371.57 : x
  2. Step 2: Convert to fraction form
    31,558.68/47,345.27 = 9,371.57/x
  3. Step 3: Cross multiply
    31,558.68x = 47,345.27 × 9,371.57
  4. Step 4: Simplify right side
    31,558.68x = 443,699,228.39
  5. Step 5: Solve for x
    x = 443,699,228.39/31,558.68
  6. Step 6: Final answer
    x = 14,059.50

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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.