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Finding the Fourth Proportional to 53,986.62, 74,502.52 and 31,326.86

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Solution

The fourth proportional to 53,986.62, 74,502.52 and 31,326.86 is: 43,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,986.62 : 74,502.52 = 31,326.86 : x
  2. Step 2: Convert to fraction form
    53,986.62/74,502.52 = 31,326.86/x
  3. Step 3: Cross multiply
    53,986.62x = 74,502.52 × 31,326.86
  4. Step 4: Simplify right side
    53,986.62x = 2,333,930,013.69
  5. Step 5: Solve for x
    x = 2,333,930,013.69/53,986.62
  6. Step 6: Final answer
    x = 43,231.64

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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.