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Finding the Fourth Proportional to 30,920.13, 42,675.93 and 17,491.41

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Solution

The fourth proportional to 30,920.13, 42,675.93 and 17,491.41 is: 24,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.13 : 42,675.93 = 17,491.41 : x
  2. Step 2: Convert to fraction form
    30,920.13/42,675.93 = 17,491.41/x
  3. Step 3: Cross multiply
    30,920.13x = 42,675.93 × 17,491.41
  4. Step 4: Simplify right side
    30,920.13x = 746,462,188.76
  5. Step 5: Solve for x
    x = 746,462,188.76/30,920.13
  6. Step 6: Final answer
    x = 24,141.63

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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.