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Finding the Fourth Proportional to 52,784.86, 72,839.36 and 30,118.54

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Solution

The fourth proportional to 52,784.86, 72,839.36 and 30,118.54 is: 41,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784.86 : 72,839.36 = 30,118.54 : x
  2. Step 2: Convert to fraction form
    52,784.86/72,839.36 = 30,118.54/x
  3. Step 3: Cross multiply
    52,784.86x = 72,839.36 × 30,118.54
  4. Step 4: Simplify right side
    52,784.86x = 2,193,815,177.73
  5. Step 5: Solve for x
    x = 2,193,815,177.73/52,784.86
  6. Step 6: Final answer
    x = 41,561.45

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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.