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Finding the Fourth Proportional to 58,292, 80,442.96 and 31,796

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Solution

The fourth proportional to 58,292, 80,442.96 and 31,796 is: 43,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,292 : 80,442.96 = 31,796 : x
  2. Step 2: Convert to fraction form
    58,292/80,442.96 = 31,796/x
  3. Step 3: Cross multiply
    58,292x = 80,442.96 × 31,796
  4. Step 4: Simplify right side
    58,292x = 2,557,764,356.16
  5. Step 5: Solve for x
    x = 2,557,764,356.16/58,292
  6. Step 6: Final answer
    x = 43,878.48

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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.