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Finding the Fourth Proportional to 39,675.16, 54,743.16 and 22,898.44

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Solution

The fourth proportional to 39,675.16, 54,743.16 and 22,898.44 is: 31,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,675.16 : 54,743.16 = 22,898.44 : x
  2. Step 2: Convert to fraction form
    39,675.16/54,743.16 = 22,898.44/x
  3. Step 3: Cross multiply
    39,675.16x = 54,743.16 × 22,898.44
  4. Step 4: Simplify right side
    39,675.16x = 1,253,532,827.81
  5. Step 5: Solve for x
    x = 1,253,532,827.81/39,675.16
  6. Step 6: Final answer
    x = 31,594.90

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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.