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Finding the Fourth Proportional to 51,924.32, 71,662.20 and 34,034.48

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Solution

The fourth proportional to 51,924.32, 71,662.20 and 34,034.48 is: 46,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,924.32 : 71,662.20 = 34,034.48 : x
  2. Step 2: Convert to fraction form
    51,924.32/71,662.20 = 34,034.48/x
  3. Step 3: Cross multiply
    51,924.32x = 71,662.20 × 34,034.48
  4. Step 4: Simplify right side
    51,924.32x = 2,438,985,712.66
  5. Step 5: Solve for x
    x = 2,438,985,712.66/51,924.32
  6. Step 6: Final answer
    x = 46,971.93

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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.