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Finding the Fourth Proportional to 105,524.91, 145,624.37 and 57,778.38

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Solution

The fourth proportional to 105,524.91, 145,624.37 and 57,778.38 is: 79,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524.91 : 145,624.37 = 57,778.38 : x
  2. Step 2: Convert to fraction form
    105,524.91/145,624.37 = 57,778.38/x
  3. Step 3: Cross multiply
    105,524.91x = 145,624.37 × 57,778.38
  4. Step 4: Simplify right side
    105,524.91x = 8,413,939,898.23
  5. Step 5: Solve for x
    x = 8,413,939,898.23/105,524.91
  6. Step 6: Final answer
    x = 79,734.16

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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.