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Finding the Fourth Proportional to 51,818, 71,508.84 and 29,466.32

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Solution

The fourth proportional to 51,818, 71,508.84 and 29,466.32 is: 40,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818 : 71,508.84 = 29,466.32 : x
  2. Step 2: Convert to fraction form
    51,818/71,508.84 = 29,466.32/x
  3. Step 3: Cross multiply
    51,818x = 71,508.84 × 29,466.32
  4. Step 4: Simplify right side
    51,818x = 2,107,102,362.27
  5. Step 5: Solve for x
    x = 2,107,102,362.27/51,818
  6. Step 6: Final answer
    x = 40,663.52

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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.