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Finding the Fourth Proportional to 30,752.64, 42,439.75 and 17,141.90

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Solution

The fourth proportional to 30,752.64, 42,439.75 and 17,141.90 is: 23,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.64 : 42,439.75 = 17,141.90 : x
  2. Step 2: Convert to fraction form
    30,752.64/42,439.75 = 17,141.90/x
  3. Step 3: Cross multiply
    30,752.64x = 42,439.75 × 17,141.90
  4. Step 4: Simplify right side
    30,752.64x = 727,497,950.53
  5. Step 5: Solve for x
    x = 727,497,950.53/30,752.64
  6. Step 6: Final answer
    x = 23,656.44

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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.