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Finding the Fourth Proportional to 31,537.96, 47,316.05 and 9,351.83

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Solution

The fourth proportional to 31,537.96, 47,316.05 and 9,351.83 is: 14,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,537.96 : 47,316.05 = 9,351.83 : x
  2. Step 2: Convert to fraction form
    31,537.96/47,316.05 = 9,351.83/x
  3. Step 3: Cross multiply
    31,537.96x = 47,316.05 × 9,351.83
  4. Step 4: Simplify right side
    31,537.96x = 442,491,655.87
  5. Step 5: Solve for x
    x = 442,491,655.87/31,537.96
  6. Step 6: Final answer
    x = 14,030.45

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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.