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Finding the Fourth Proportional to 31,650.96, 47,445.44 and 17,617.68

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Solution

The fourth proportional to 31,650.96, 47,445.44 and 17,617.68 is: 26,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.96 : 47,445.44 = 17,617.68 : x
  2. Step 2: Convert to fraction form
    31,650.96/47,445.44 = 17,617.68/x
  3. Step 3: Cross multiply
    31,650.96x = 47,445.44 × 17,617.68
  4. Step 4: Simplify right side
    31,650.96x = 835,878,579.38
  5. Step 5: Solve for x
    x = 835,878,579.38/31,650.96
  6. Step 6: Final answer
    x = 26,409.26

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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.