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Finding the Fourth Proportional to 76,494.34, 114,786.46 and 32,117.68

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Solution

The fourth proportional to 76,494.34, 114,786.46 and 32,117.68 is: 48,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.34 : 114,786.46 = 32,117.68 : x
  2. Step 2: Convert to fraction form
    76,494.34/114,786.46 = 32,117.68/x
  3. Step 3: Cross multiply
    76,494.34x = 114,786.46 × 32,117.68
  4. Step 4: Simplify right side
    76,494.34x = 3,686,674,790.61
  5. Step 5: Solve for x
    x = 3,686,674,790.61/76,494.34
  6. Step 6: Final answer
    x = 48,195.39

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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.