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Finding the Fourth Proportional to 105,186.72, 157,721.76 and 35,027.76

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Solution

The fourth proportional to 105,186.72, 157,721.76 and 35,027.76 is: 52,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,186.72 : 157,721.76 = 35,027.76 : x
  2. Step 2: Convert to fraction form
    105,186.72/157,721.76 = 35,027.76/x
  3. Step 3: Cross multiply
    105,186.72x = 157,721.76 × 35,027.76
  4. Step 4: Simplify right side
    105,186.72x = 5,524,639,956.06
  5. Step 5: Solve for x
    x = 5,524,639,956.06/105,186.72
  6. Step 6: Final answer
    x = 52,522.22

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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.