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Finding the Fourth Proportional to 30,901.68, 42,643.94 and 16,754.49

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Solution

The fourth proportional to 30,901.68, 42,643.94 and 16,754.49 is: 23,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.68 : 42,643.94 = 16,754.49 : x
  2. Step 2: Convert to fraction form
    30,901.68/42,643.94 = 16,754.49/x
  3. Step 3: Cross multiply
    30,901.68x = 42,643.94 × 16,754.49
  4. Step 4: Simplify right side
    30,901.68x = 714,477,382.52
  5. Step 5: Solve for x
    x = 714,477,382.52/30,901.68
  6. Step 6: Final answer
    x = 23,120.99

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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.