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Finding the Fourth Proportional to 47,684, 65,804.10 and 26,466.32

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Solution

The fourth proportional to 47,684, 65,804.10 and 26,466.32 is: 36,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684 : 65,804.10 = 26,466.32 : x
  2. Step 2: Convert to fraction form
    47,684/65,804.10 = 26,466.32/x
  3. Step 3: Cross multiply
    47,684x = 65,804.10 × 26,466.32
  4. Step 4: Simplify right side
    47,684x = 1,741,592,367.91
  5. Step 5: Solve for x
    x = 1,741,592,367.91/47,684
  6. Step 6: Final answer
    x = 36,523.62

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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.