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Finding the Fourth Proportional to 30,900.98, 42,643.45 and 16,753.83

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Solution

The fourth proportional to 30,900.98, 42,643.45 and 16,753.83 is: 23,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.98 : 42,643.45 = 16,753.83 : x
  2. Step 2: Convert to fraction form
    30,900.98/42,643.45 = 16,753.83/x
  3. Step 3: Cross multiply
    30,900.98x = 42,643.45 × 16,753.83
  4. Step 4: Simplify right side
    30,900.98x = 714,441,028.14
  5. Step 5: Solve for x
    x = 714,441,028.14/30,900.98
  6. Step 6: Final answer
    x = 23,120.34

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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.