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Finding the Fourth Proportional to 31,537.91, 47,316 and 9,351.71

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Solution

The fourth proportional to 31,537.91, 47,316 and 9,351.71 is: 14,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,537.91 : 47,316 = 9,351.71 : x
  2. Step 2: Convert to fraction form
    31,537.91/47,316 = 9,351.71/x
  3. Step 3: Cross multiply
    31,537.91x = 47,316 × 9,351.71
  4. Step 4: Simplify right side
    31,537.91x = 442,485,510.36
  5. Step 5: Solve for x
    x = 442,485,510.36/31,537.91
  6. Step 6: Final answer
    x = 14,030.27

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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.