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Finding the Fourth Proportional to 52,268, 72,139.56 and 29,912

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Solution

The fourth proportional to 52,268, 72,139.56 and 29,912 is: 41,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,268 : 72,139.56 = 29,912 : x
  2. Step 2: Convert to fraction form
    52,268/72,139.56 = 29,912/x
  3. Step 3: Cross multiply
    52,268x = 72,139.56 × 29,912
  4. Step 4: Simplify right side
    52,268x = 2,157,838,518.72
  5. Step 5: Solve for x
    x = 2,157,838,518.72/52,268
  6. Step 6: Final answer
    x = 41,284.12

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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.