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Finding the Fourth Proportional to 77,775.76, 116,665.44 and 27,859.24

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Solution

The fourth proportional to 77,775.76, 116,665.44 and 27,859.24 is: 41,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,775.76 : 116,665.44 = 27,859.24 : x
  2. Step 2: Convert to fraction form
    77,775.76/116,665.44 = 27,859.24/x
  3. Step 3: Cross multiply
    77,775.76x = 116,665.44 × 27,859.24
  4. Step 4: Simplify right side
    77,775.76x = 3,250,210,492.67
  5. Step 5: Solve for x
    x = 3,250,210,492.67/77,775.76
  6. Step 6: Final answer
    x = 41,789.50

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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.