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Finding the Fourth Proportional to 30,743.90, 42,426.74 and 17,315.42

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Solution

The fourth proportional to 30,743.90, 42,426.74 and 17,315.42 is: 23,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,743.90 : 42,426.74 = 17,315.42 : x
  2. Step 2: Convert to fraction form
    30,743.90/42,426.74 = 17,315.42/x
  3. Step 3: Cross multiply
    30,743.90x = 42,426.74 × 17,315.42
  4. Step 4: Simplify right side
    30,743.90x = 734,636,794.74
  5. Step 5: Solve for x
    x = 734,636,794.74/30,743.90
  6. Step 6: Final answer
    x = 23,895.36

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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.