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Finding the Fourth Proportional to 34,102.44, 47,054.52 and 19,952.64

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Solution

The fourth proportional to 34,102.44, 47,054.52 and 19,952.64 is: 27,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.44 : 47,054.52 = 19,952.64 : x
  2. Step 2: Convert to fraction form
    34,102.44/47,054.52 = 19,952.64/x
  3. Step 3: Cross multiply
    34,102.44x = 47,054.52 × 19,952.64
  4. Step 4: Simplify right side
    34,102.44x = 938,861,897.93
  5. Step 5: Solve for x
    x = 938,861,897.93/34,102.44
  6. Step 6: Final answer
    x = 27,530.64

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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.