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Finding the Fourth Proportional to 31,136.68, 42,969.10 and 16,989.52

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Solution

The fourth proportional to 31,136.68, 42,969.10 and 16,989.52 is: 23,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,136.68 : 42,969.10 = 16,989.52 : x
  2. Step 2: Convert to fraction form
    31,136.68/42,969.10 = 16,989.52/x
  3. Step 3: Cross multiply
    31,136.68x = 42,969.10 × 16,989.52
  4. Step 4: Simplify right side
    31,136.68x = 730,024,383.83
  5. Step 5: Solve for x
    x = 730,024,383.83/31,136.68
  6. Step 6: Final answer
    x = 23,445.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.