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Finding the Fourth Proportional to 75,735.41, 104,502.56 and 43,898.09

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Solution

The fourth proportional to 75,735.41, 104,502.56 and 43,898.09 is: 60,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,735.41 : 104,502.56 = 43,898.09 : x
  2. Step 2: Convert to fraction form
    75,735.41/104,502.56 = 43,898.09/x
  3. Step 3: Cross multiply
    75,735.41x = 104,502.56 × 43,898.09
  4. Step 4: Simplify right side
    75,735.41x = 4,587,462,042.11
  5. Step 5: Solve for x
    x = 4,587,462,042.11/75,735.41
  6. Step 6: Final answer
    x = 60,572.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.