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Finding the Fourth Proportional to 34,102.08, 47,057.52 and 19,952.16

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Solution

The fourth proportional to 34,102.08, 47,057.52 and 19,952.16 is: 27,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.08 : 47,057.52 = 19,952.16 : x
  2. Step 2: Convert to fraction form
    34,102.08/47,057.52 = 19,952.16/x
  3. Step 3: Cross multiply
    34,102.08x = 47,057.52 × 19,952.16
  4. Step 4: Simplify right side
    34,102.08x = 938,899,168.24
  5. Step 5: Solve for x
    x = 938,899,168.24/34,102.08
  6. Step 6: Final answer
    x = 27,532.02

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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.