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Finding the Fourth Proportional to 72,797.72, 109,214.71 and 57,861.20

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Solution

The fourth proportional to 72,797.72, 109,214.71 and 57,861.20 is: 86,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,797.72 : 109,214.71 = 57,861.20 : x
  2. Step 2: Convert to fraction form
    72,797.72/109,214.71 = 57,861.20/x
  3. Step 3: Cross multiply
    72,797.72x = 109,214.71 × 57,861.20
  4. Step 4: Simplify right side
    72,797.72x = 6,319,294,178.25
  5. Step 5: Solve for x
    x = 6,319,294,178.25/72,797.72
  6. Step 6: Final answer
    x = 86,806.21

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Why These Related Problems?

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