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Finding the Fourth Proportional to 84,502.48, 116,668.44 and 54,299.44

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Solution

The fourth proportional to 84,502.48, 116,668.44 and 54,299.44 is: 74,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,502.48 : 116,668.44 = 54,299.44 : x
  2. Step 2: Convert to fraction form
    84,502.48/116,668.44 = 54,299.44/x
  3. Step 3: Cross multiply
    84,502.48x = 116,668.44 × 54,299.44
  4. Step 4: Simplify right side
    84,502.48x = 6,335,030,957.67
  5. Step 5: Solve for x
    x = 6,335,030,957.67/84,502.48
  6. Step 6: Final answer
    x = 74,968.58

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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.