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Finding the Fourth Proportional to 52,106.82, 71,906.47 and 29,445.32

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Solution

The fourth proportional to 52,106.82, 71,906.47 and 29,445.32 is: 40,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.82 : 71,906.47 = 29,445.32 : x
  2. Step 2: Convert to fraction form
    52,106.82/71,906.47 = 29,445.32/x
  3. Step 3: Cross multiply
    52,106.82x = 71,906.47 × 29,445.32
  4. Step 4: Simplify right side
    52,106.82x = 2,117,309,125.37
  5. Step 5: Solve for x
    x = 2,117,309,125.37/52,106.82
  6. Step 6: Final answer
    x = 40,634.01

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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.