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Finding the Fourth Proportional to 77,833.53, 107,410.91 and 44,301.69

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Solution

The fourth proportional to 77,833.53, 107,410.91 and 44,301.69 is: 61,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,833.53 : 107,410.91 = 44,301.69 : x
  2. Step 2: Convert to fraction form
    77,833.53/107,410.91 = 44,301.69/x
  3. Step 3: Cross multiply
    77,833.53x = 107,410.91 × 44,301.69
  4. Step 4: Simplify right side
    77,833.53x = 4,758,484,615.93
  5. Step 5: Solve for x
    x = 4,758,484,615.93/77,833.53
  6. Step 6: Final answer
    x = 61,136.69

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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.