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Finding the Fourth Proportional to 105,006.68, 157,446.68 and 41,836.54

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Solution

The fourth proportional to 105,006.68, 157,446.68 and 41,836.54 is: 62,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,006.68 : 157,446.68 = 41,836.54 : x
  2. Step 2: Convert to fraction form
    105,006.68/157,446.68 = 41,836.54/x
  3. Step 3: Cross multiply
    105,006.68x = 157,446.68 × 41,836.54
  4. Step 4: Simplify right side
    105,006.68x = 6,587,024,116.50
  5. Step 5: Solve for x
    x = 6,587,024,116.50/105,006.68
  6. Step 6: Final answer
    x = 62,729.57

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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.