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Finding the Fourth Proportional to 72,834, 109,243.68 and 53,151

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Solution

The fourth proportional to 72,834, 109,243.68 and 53,151 is: 79,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,834 : 109,243.68 = 53,151 : x
  2. Step 2: Convert to fraction form
    72,834/109,243.68 = 53,151/x
  3. Step 3: Cross multiply
    72,834x = 109,243.68 × 53,151
  4. Step 4: Simplify right side
    72,834x = 5,806,410,835.68
  5. Step 5: Solve for x
    x = 5,806,410,835.68/72,834
  6. Step 6: Final answer
    x = 79,721.16

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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.