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Finding the Fourth Proportional to 77,833.86, 107,416.17 and 44,299.86

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Solution

The fourth proportional to 77,833.86, 107,416.17 and 44,299.86 is: 61,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,833.86 : 107,416.17 = 44,299.86 : x
  2. Step 2: Convert to fraction form
    77,833.86/107,416.17 = 44,299.86/x
  3. Step 3: Cross multiply
    77,833.86x = 107,416.17 × 44,299.86
  4. Step 4: Simplify right side
    77,833.86x = 4,758,521,292.74
  5. Step 5: Solve for x
    x = 4,758,521,292.74/77,833.86
  6. Step 6: Final answer
    x = 61,136.90

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1.5x scale

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.