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Finding the Fourth Proportional to 101,956.94, 152,713.66 and 49,255.50

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Solution

The fourth proportional to 101,956.94, 152,713.66 and 49,255.50 is: 73,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,956.94 : 152,713.66 = 49,255.50 : x
  2. Step 2: Convert to fraction form
    101,956.94/152,713.66 = 49,255.50/x
  3. Step 3: Cross multiply
    101,956.94x = 152,713.66 × 49,255.50
  4. Step 4: Simplify right side
    101,956.94x = 7,521,987,680.13
  5. Step 5: Solve for x
    x = 7,521,987,680.13/101,956.94
  6. Step 6: Final answer
    x = 73,776.12

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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.