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Finding the Fourth Proportional to 74,524.32, 111,786.72 and 46,764

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Solution

The fourth proportional to 74,524.32, 111,786.72 and 46,764 is: 70,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,524.32 : 111,786.72 = 46,764 : x
  2. Step 2: Convert to fraction form
    74,524.32/111,786.72 = 46,764/x
  3. Step 3: Cross multiply
    74,524.32x = 111,786.72 × 46,764
  4. Step 4: Simplify right side
    74,524.32x = 5,227,594,174.08
  5. Step 5: Solve for x
    x = 5,227,594,174.08/74,524.32
  6. Step 6: Final answer
    x = 70,146.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.