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Finding the Fourth Proportional to 30,920.53, 42,670.35 and 17,491.50

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Solution

The fourth proportional to 30,920.53, 42,670.35 and 17,491.50 is: 24,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.53 : 42,670.35 = 17,491.50 : x
  2. Step 2: Convert to fraction form
    30,920.53/42,670.35 = 17,491.50/x
  3. Step 3: Cross multiply
    30,920.53x = 42,670.35 × 17,491.50
  4. Step 4: Simplify right side
    30,920.53x = 746,368,361.43
  5. Step 5: Solve for x
    x = 746,368,361.43/30,920.53
  6. Step 6: Final answer
    x = 24,138.28

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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.