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Finding the Fourth Proportional to 30,900.30, 42,642.15 and 17,474.19

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Solution

The fourth proportional to 30,900.30, 42,642.15 and 17,474.19 is: 24,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.30 : 42,642.15 = 17,474.19 : x
  2. Step 2: Convert to fraction form
    30,900.30/42,642.15 = 17,474.19/x
  3. Step 3: Cross multiply
    30,900.30x = 42,642.15 × 17,474.19
  4. Step 4: Simplify right side
    30,900.30x = 745,136,730.53
  5. Step 5: Solve for x
    x = 745,136,730.53/30,900.30
  6. Step 6: Final answer
    x = 24,114.23

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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.