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Finding the Fourth Proportional to 49,020.70, 67,648.98 and 27,800.32

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Solution

The fourth proportional to 49,020.70, 67,648.98 and 27,800.32 is: 38,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,020.70 : 67,648.98 = 27,800.32 : x
  2. Step 2: Convert to fraction form
    49,020.70/67,648.98 = 27,800.32/x
  3. Step 3: Cross multiply
    49,020.70x = 67,648.98 × 27,800.32
  4. Step 4: Simplify right side
    49,020.70x = 1,880,663,291.67
  5. Step 5: Solve for x
    x = 1,880,663,291.67/49,020.70
  6. Step 6: Final answer
    x = 38,364.68

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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.