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Finding the Fourth Proportional to 73,092.83, 109,639.98 and 25,709.24

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Solution

The fourth proportional to 73,092.83, 109,639.98 and 25,709.24 is: 38,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,092.83 : 109,639.98 = 25,709.24 : x
  2. Step 2: Convert to fraction form
    73,092.83/109,639.98 = 25,709.24/x
  3. Step 3: Cross multiply
    73,092.83x = 109,639.98 × 25,709.24
  4. Step 4: Simplify right side
    73,092.83x = 2,818,760,559.42
  5. Step 5: Solve for x
    x = 2,818,760,559.42/73,092.83
  6. Step 6: Final answer
    x = 38,564.12

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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.