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Finding the Fourth Proportional to 102,601.50, 153,892.17 and 50,047.26

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Solution

The fourth proportional to 102,601.50, 153,892.17 and 50,047.26 is: 75,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,601.50 : 153,892.17 = 50,047.26 : x
  2. Step 2: Convert to fraction form
    102,601.50/153,892.17 = 50,047.26/x
  3. Step 3: Cross multiply
    102,601.50x = 153,892.17 × 50,047.26
  4. Step 4: Simplify right side
    102,601.50x = 7,701,881,443.95
  5. Step 5: Solve for x
    x = 7,701,881,443.95/102,601.50
  6. Step 6: Final answer
    x = 75,065.97

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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.