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Finding the Fourth Proportional to 47,466.34, 65,492.64 and 28,342.38

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Solution

The fourth proportional to 47,466.34, 65,492.64 and 28,342.38 is: 39,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,466.34 : 65,492.64 = 28,342.38 : x
  2. Step 2: Convert to fraction form
    47,466.34/65,492.64 = 28,342.38/x
  3. Step 3: Cross multiply
    47,466.34x = 65,492.64 × 28,342.38
  4. Step 4: Simplify right side
    47,466.34x = 1,856,217,290.08
  5. Step 5: Solve for x
    x = 1,856,217,290.08/47,466.34
  6. Step 6: Final answer
    x = 39,105.97

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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.