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Finding the Fourth Proportional to 47,898.39, 66,099.74 and 27,766.94

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Solution

The fourth proportional to 47,898.39, 66,099.74 and 27,766.94 is: 38,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,898.39 : 66,099.74 = 27,766.94 : x
  2. Step 2: Convert to fraction form
    47,898.39/66,099.74 = 27,766.94/x
  3. Step 3: Cross multiply
    47,898.39x = 66,099.74 × 27,766.94
  4. Step 4: Simplify right side
    47,898.39x = 1,835,387,045.26
  5. Step 5: Solve for x
    x = 1,835,387,045.26/47,898.39
  6. Step 6: Final answer
    x = 38,318.35

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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.