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Finding the Fourth Proportional to 72,823.76, 109,235.60 and 20,233.22

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Solution

The fourth proportional to 72,823.76, 109,235.60 and 20,233.22 is: 30,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,823.76 : 109,235.60 = 20,233.22 : x
  2. Step 2: Convert to fraction form
    72,823.76/109,235.60 = 20,233.22/x
  3. Step 3: Cross multiply
    72,823.76x = 109,235.60 × 20,233.22
  4. Step 4: Simplify right side
    72,823.76x = 2,210,187,825.47
  5. Step 5: Solve for x
    x = 2,210,187,825.47/72,823.76
  6. Step 6: Final answer
    x = 30,349.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.