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Finding the Fourth Proportional to 77,502.42, 116,265.24 and 33,129

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Solution

The fourth proportional to 77,502.42, 116,265.24 and 33,129 is: 49,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,502.42 : 116,265.24 = 33,129 : x
  2. Step 2: Convert to fraction form
    77,502.42/116,265.24 = 33,129/x
  3. Step 3: Cross multiply
    77,502.42x = 116,265.24 × 33,129
  4. Step 4: Simplify right side
    77,502.42x = 3,851,751,135.96
  5. Step 5: Solve for x
    x = 3,851,751,135.96/77,502.42
  6. Step 6: Final answer
    x = 49,698.46

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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.