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Finding the Fourth Proportional to 58,442.73, 87,822.36 and 31,808.41

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Solution

The fourth proportional to 58,442.73, 87,822.36 and 31,808.41 is: 47,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,442.73 : 87,822.36 = 31,808.41 : x
  2. Step 2: Convert to fraction form
    58,442.73/87,822.36 = 31,808.41/x
  3. Step 3: Cross multiply
    58,442.73x = 87,822.36 × 31,808.41
  4. Step 4: Simplify right side
    58,442.73x = 2,793,489,414.49
  5. Step 5: Solve for x
    x = 2,793,489,414.49/58,442.73
  6. Step 6: Final answer
    x = 47,798.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.