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Finding the Fourth Proportional to 31,509.48, 47,260.56 and 8,134.08

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Solution

The fourth proportional to 31,509.48, 47,260.56 and 8,134.08 is: 12,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.48 : 47,260.56 = 8,134.08 : x
  2. Step 2: Convert to fraction form
    31,509.48/47,260.56 = 8,134.08/x
  3. Step 3: Cross multiply
    31,509.48x = 47,260.56 × 8,134.08
  4. Step 4: Simplify right side
    31,509.48x = 384,421,175.88
  5. Step 5: Solve for x
    x = 384,421,175.88/31,509.48
  6. Step 6: Final answer
    x = 12,200.18

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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.