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Finding the Fourth Proportional to 30,884.95, 42,620.09 and 16,737.49

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Solution

The fourth proportional to 30,884.95, 42,620.09 and 16,737.49 is: 23,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.95 : 42,620.09 = 16,737.49 : x
  2. Step 2: Convert to fraction form
    30,884.95/42,620.09 = 16,737.49/x
  3. Step 3: Cross multiply
    30,884.95x = 42,620.09 × 16,737.49
  4. Step 4: Simplify right side
    30,884.95x = 713,353,393.91
  5. Step 5: Solve for x
    x = 713,353,393.91/30,884.95
  6. Step 6: Final answer
    x = 23,097.12

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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.