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Finding the Fourth Proportional to 115,498.50, 173,247.76 and 27,946.50

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Solution

The fourth proportional to 115,498.50, 173,247.76 and 27,946.50 is: 41,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,498.50 : 173,247.76 = 27,946.50 : x
  2. Step 2: Convert to fraction form
    115,498.50/173,247.76 = 27,946.50/x
  3. Step 3: Cross multiply
    115,498.50x = 173,247.76 × 27,946.50
  4. Step 4: Simplify right side
    115,498.50x = 4,841,668,524.84
  5. Step 5: Solve for x
    x = 4,841,668,524.84/115,498.50
  6. Step 6: Final answer
    x = 41,919.75

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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.