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Finding the Fourth Proportional to 30,949.75, 42,711.16 and 16,802.59

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Solution

The fourth proportional to 30,949.75, 42,711.16 and 16,802.59 is: 23,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.75 : 42,711.16 = 16,802.59 : x
  2. Step 2: Convert to fraction form
    30,949.75/42,711.16 = 16,802.59/x
  3. Step 3: Cross multiply
    30,949.75x = 42,711.16 × 16,802.59
  4. Step 4: Simplify right side
    30,949.75x = 717,658,109.90
  5. Step 5: Solve for x
    x = 717,658,109.90/30,949.75
  6. Step 6: Final answer
    x = 23,187.85

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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.