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Finding the Fourth Proportional to 31,712.69, 47,576.34 and 9,526.50

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Solution

The fourth proportional to 31,712.69, 47,576.34 and 9,526.50 is: 14,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.69 : 47,576.34 = 9,526.50 : x
  2. Step 2: Convert to fraction form
    31,712.69/47,576.34 = 9,526.50/x
  3. Step 3: Cross multiply
    31,712.69x = 47,576.34 × 9,526.50
  4. Step 4: Simplify right side
    31,712.69x = 453,236,003.01
  5. Step 5: Solve for x
    x = 453,236,003.01/31,712.69
  6. Step 6: Final answer
    x = 14,291.94

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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.