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Finding the Fourth Proportional to 72,806.42, 109,235.92 and 25,428.50

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Solution

The fourth proportional to 72,806.42, 109,235.92 and 25,428.50 is: 38,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806.42 : 109,235.92 = 25,428.50 : x
  2. Step 2: Convert to fraction form
    72,806.42/109,235.92 = 25,428.50/x
  3. Step 3: Cross multiply
    72,806.42x = 109,235.92 × 25,428.50
  4. Step 4: Simplify right side
    72,806.42x = 2,777,705,591.72
  5. Step 5: Solve for x
    x = 2,777,705,591.72/72,806.42
  6. Step 6: Final answer
    x = 38,151.93

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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.