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Finding the Fourth Proportional to 77,492.88, 106,944.26 and 43,499.61

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Solution

The fourth proportional to 77,492.88, 106,944.26 and 43,499.61 is: 60,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,492.88 : 106,944.26 = 43,499.61 : x
  2. Step 2: Convert to fraction form
    77,492.88/106,944.26 = 43,499.61/x
  3. Step 3: Cross multiply
    77,492.88x = 106,944.26 × 43,499.61
  4. Step 4: Simplify right side
    77,492.88x = 4,652,033,384.24
  5. Step 5: Solve for x
    x = 4,652,033,384.24/77,492.88
  6. Step 6: Final answer
    x = 60,031.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.