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Finding the Fourth Proportional to 51,972, 71,721.60 and 29,620.32

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Solution

The fourth proportional to 51,972, 71,721.60 and 29,620.32 is: 40,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 71,721.60 = 29,620.32 : x
  2. Step 2: Convert to fraction form
    51,972/71,721.60 = 29,620.32/x
  3. Step 3: Cross multiply
    51,972x = 71,721.60 × 29,620.32
  4. Step 4: Simplify right side
    51,972x = 2,124,416,742.91
  5. Step 5: Solve for x
    x = 2,124,416,742.91/51,972
  6. Step 6: Final answer
    x = 40,876.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.