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Finding the Fourth Proportional to 58,497.94, 80,726.92 and 31,640.48

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Solution

The fourth proportional to 58,497.94, 80,726.92 and 31,640.48 is: 43,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,497.94 : 80,726.92 = 31,640.48 : x
  2. Step 2: Convert to fraction form
    58,497.94/80,726.92 = 31,640.48/x
  3. Step 3: Cross multiply
    58,497.94x = 80,726.92 × 31,640.48
  4. Step 4: Simplify right side
    58,497.94x = 2,554,238,497.72
  5. Step 5: Solve for x
    x = 2,554,238,497.72/58,497.94
  6. Step 6: Final answer
    x = 43,663.73

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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.