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Finding the Fourth Proportional to 31,683.44, 47,493.78 and 17,649.92

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Solution

The fourth proportional to 31,683.44, 47,493.78 and 17,649.92 is: 26,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.44 : 47,493.78 = 17,649.92 : x
  2. Step 2: Convert to fraction form
    31,683.44/47,493.78 = 17,649.92/x
  3. Step 3: Cross multiply
    31,683.44x = 47,493.78 × 17,649.92
  4. Step 4: Simplify right side
    31,683.44x = 838,261,417.50
  5. Step 5: Solve for x
    x = 838,261,417.50/31,683.44
  6. Step 6: Final answer
    x = 26,457.40

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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.