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Finding the Fourth Proportional to 76,575.33, 105,658.47 and 44,738.08

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Solution

The fourth proportional to 76,575.33, 105,658.47 and 44,738.08 is: 61,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,575.33 : 105,658.47 = 44,738.08 : x
  2. Step 2: Convert to fraction form
    76,575.33/105,658.47 = 44,738.08/x
  3. Step 3: Cross multiply
    76,575.33x = 105,658.47 × 44,738.08
  4. Step 4: Simplify right side
    76,575.33x = 4,726,956,819.39
  5. Step 5: Solve for x
    x = 4,726,956,819.39/76,575.33
  6. Step 6: Final answer
    x = 61,729.50

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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.