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Finding the Fourth Proportional to 42,347.91, 58,414.46 and 28,007.67

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Solution

The fourth proportional to 42,347.91, 58,414.46 and 28,007.67 is: 38,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,347.91 : 58,414.46 = 28,007.67 : x
  2. Step 2: Convert to fraction form
    42,347.91/58,414.46 = 28,007.67/x
  3. Step 3: Cross multiply
    42,347.91x = 58,414.46 × 28,007.67
  4. Step 4: Simplify right side
    42,347.91x = 1,636,052,778.87
  5. Step 5: Solve for x
    x = 1,636,052,778.87/42,347.91
  6. Step 6: Final answer
    x = 38,633.61

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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.