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Finding the Fourth Proportional to 77,494.99, 106,946.63 and 43,039.86

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Solution

The fourth proportional to 77,494.99, 106,946.63 and 43,039.86 is: 59,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494.99 : 106,946.63 = 43,039.86 : x
  2. Step 2: Convert to fraction form
    77,494.99/106,946.63 = 43,039.86/x
  3. Step 3: Cross multiply
    77,494.99x = 106,946.63 × 43,039.86
  4. Step 4: Simplify right side
    77,494.99x = 4,602,967,982.67
  5. Step 5: Solve for x
    x = 4,602,967,982.67/77,494.99
  6. Step 6: Final answer
    x = 59,396.97

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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.