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Finding the Fourth Proportional to 73,126.56, 109,709.28 and 23,208

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Solution

The fourth proportional to 73,126.56, 109,709.28 and 23,208 is: 34,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,126.56 : 109,709.28 = 23,208 : x
  2. Step 2: Convert to fraction form
    73,126.56/109,709.28 = 23,208/x
  3. Step 3: Cross multiply
    73,126.56x = 109,709.28 × 23,208
  4. Step 4: Simplify right side
    73,126.56x = 2,546,132,970.24
  5. Step 5: Solve for x
    x = 2,546,132,970.24/73,126.56
  6. Step 6: Final answer
    x = 34,818.17

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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.