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Finding the Fourth Proportional to 31,695.35, 47,550.92 and 9,509.13

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Solution

The fourth proportional to 31,695.35, 47,550.92 and 9,509.13 is: 14,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695.35 : 47,550.92 = 9,509.13 : x
  2. Step 2: Convert to fraction form
    31,695.35/47,550.92 = 9,509.13/x
  3. Step 3: Cross multiply
    31,695.35x = 47,550.92 × 9,509.13
  4. Step 4: Simplify right side
    31,695.35x = 452,167,832.35
  5. Step 5: Solve for x
    x = 452,167,832.35/31,695.35
  6. Step 6: Final answer
    x = 14,266.06

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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.