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Finding the Fourth Proportional to 31,477.95, 47,203.02 and 16,683.44

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Solution

The fourth proportional to 31,477.95, 47,203.02 and 16,683.44 is: 25,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.95 : 47,203.02 = 16,683.44 : x
  2. Step 2: Convert to fraction form
    31,477.95/47,203.02 = 16,683.44/x
  3. Step 3: Cross multiply
    31,477.95x = 47,203.02 × 16,683.44
  4. Step 4: Simplify right side
    31,477.95x = 787,508,515.97
  5. Step 5: Solve for x
    x = 787,508,515.97/31,477.95
  6. Step 6: Final answer
    x = 25,017.78

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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.