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Finding the Fourth Proportional to 77,019.16, 106,274.46 and 43,484.44

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Solution

The fourth proportional to 77,019.16, 106,274.46 and 43,484.44 is: 60,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019.16 : 106,274.46 = 43,484.44 : x
  2. Step 2: Convert to fraction form
    77,019.16/106,274.46 = 43,484.44/x
  3. Step 3: Cross multiply
    77,019.16x = 106,274.46 × 43,484.44
  4. Step 4: Simplify right side
    77,019.16x = 4,621,285,379.40
  5. Step 5: Solve for x
    x = 4,621,285,379.40/77,019.16
  6. Step 6: Final answer
    x = 60,001.76

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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.