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Finding the Fourth Proportional to 30,949.88, 42,710.60 and 16,802.44

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Solution

The fourth proportional to 30,949.88, 42,710.60 and 16,802.44 is: 23,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.88 : 42,710.60 = 16,802.44 : x
  2. Step 2: Convert to fraction form
    30,949.88/42,710.60 = 16,802.44/x
  3. Step 3: Cross multiply
    30,949.88x = 42,710.60 × 16,802.44
  4. Step 4: Simplify right side
    30,949.88x = 717,642,293.86
  5. Step 5: Solve for x
    x = 717,642,293.86/30,949.88
  6. Step 6: Final answer
    x = 23,187.24

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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.