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Finding the Fourth Proportional to 81,663.41, 122,447.42 and 31,685.13

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Solution

The fourth proportional to 81,663.41, 122,447.42 and 31,685.13 is: 47,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,663.41 : 122,447.42 = 31,685.13 : x
  2. Step 2: Convert to fraction form
    81,663.41/122,447.42 = 31,685.13/x
  3. Step 3: Cross multiply
    81,663.41x = 122,447.42 × 31,685.13
  4. Step 4: Simplify right side
    81,663.41x = 3,879,762,656.72
  5. Step 5: Solve for x
    x = 3,879,762,656.72/81,663.41
  6. Step 6: Final answer
    x = 47,509.19

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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.