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Finding the Fourth Proportional to 76,256.64, 114,416.37 and 33,540.12

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Solution

The fourth proportional to 76,256.64, 114,416.37 and 33,540.12 is: 50,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,256.64 : 114,416.37 = 33,540.12 : x
  2. Step 2: Convert to fraction form
    76,256.64/114,416.37 = 33,540.12/x
  3. Step 3: Cross multiply
    76,256.64x = 114,416.37 × 33,540.12
  4. Step 4: Simplify right side
    76,256.64x = 3,837,538,779.76
  5. Step 5: Solve for x
    x = 3,837,538,779.76/76,256.64
  6. Step 6: Final answer
    x = 50,324.00

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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.