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Finding the Fourth Proportional to 30,941.69, 42,695.98 and 17,327.83

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Solution

The fourth proportional to 30,941.69, 42,695.98 and 17,327.83 is: 23,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.69 : 42,695.98 = 17,327.83 : x
  2. Step 2: Convert to fraction form
    30,941.69/42,695.98 = 17,327.83/x
  3. Step 3: Cross multiply
    30,941.69x = 42,695.98 × 17,327.83
  4. Step 4: Simplify right side
    30,941.69x = 739,828,639.80
  5. Step 5: Solve for x
    x = 739,828,639.80/30,941.69
  6. Step 6: Final answer
    x = 23,910.42

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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.