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Finding the Fourth Proportional to 76,412.50, 114,606.16 and 20,256.10

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Solution

The fourth proportional to 76,412.50, 114,606.16 and 20,256.10 is: 30,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412.50 : 114,606.16 = 20,256.10 : x
  2. Step 2: Convert to fraction form
    76,412.50/114,606.16 = 20,256.10/x
  3. Step 3: Cross multiply
    76,412.50x = 114,606.16 × 20,256.10
  4. Step 4: Simplify right side
    76,412.50x = 2,321,473,837.58
  5. Step 5: Solve for x
    x = 2,321,473,837.58/76,412.50
  6. Step 6: Final answer
    x = 30,380.81

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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.