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Finding the Fourth Proportional to 52,655.96, 72,643.43 and 38,284.27

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Solution

The fourth proportional to 52,655.96, 72,643.43 and 38,284.27 is: 52,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655.96 : 72,643.43 = 38,284.27 : x
  2. Step 2: Convert to fraction form
    52,655.96/72,643.43 = 38,284.27/x
  3. Step 3: Cross multiply
    52,655.96x = 72,643.43 × 38,284.27
  4. Step 4: Simplify right side
    52,655.96x = 2,781,100,601.95
  5. Step 5: Solve for x
    x = 2,781,100,601.95/52,655.96
  6. Step 6: Final answer
    x = 52,816.44

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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.