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Finding the Fourth Proportional to 77,657.89, 116,467.57 and 33,279.61

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Solution

The fourth proportional to 77,657.89, 116,467.57 and 33,279.61 is: 49,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657.89 : 116,467.57 = 33,279.61 : x
  2. Step 2: Convert to fraction form
    77,657.89/116,467.57 = 33,279.61/x
  3. Step 3: Cross multiply
    77,657.89x = 116,467.57 × 33,279.61
  4. Step 4: Simplify right side
    77,657.89x = 3,875,995,307.25
  5. Step 5: Solve for x
    x = 3,875,995,307.25/77,657.89
  6. Step 6: Final answer
    x = 49,911.16

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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.