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Finding the Fourth Proportional to 30,982.69, 42,756.02 and 16,835.53

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Solution

The fourth proportional to 30,982.69, 42,756.02 and 16,835.53 is: 23,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.69 : 42,756.02 = 16,835.53 : x
  2. Step 2: Convert to fraction form
    30,982.69/42,756.02 = 16,835.53/x
  3. Step 3: Cross multiply
    30,982.69x = 42,756.02 × 16,835.53
  4. Step 4: Simplify right side
    30,982.69x = 719,820,257.39
  5. Step 5: Solve for x
    x = 719,820,257.39/30,982.69
  6. Step 6: Final answer
    x = 23,232.98

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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.