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Finding the Fourth Proportional to 29,952.32, 41,336.16 and 17,378.24

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Solution

The fourth proportional to 29,952.32, 41,336.16 and 17,378.24 is: 23,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952.32 : 41,336.16 = 17,378.24 : x
  2. Step 2: Convert to fraction form
    29,952.32/41,336.16 = 17,378.24/x
  3. Step 3: Cross multiply
    29,952.32x = 41,336.16 × 17,378.24
  4. Step 4: Simplify right side
    29,952.32x = 718,349,709.16
  5. Step 5: Solve for x
    x = 718,349,709.16/29,952.32
  6. Step 6: Final answer
    x = 23,983.11

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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.