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Finding the Fourth Proportional to 51,953, 71,733.57 and 31,837.37

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Solution

The fourth proportional to 51,953, 71,733.57 and 31,837.37 is: 43,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,953 : 71,733.57 = 31,837.37 : x
  2. Step 2: Convert to fraction form
    51,953/71,733.57 = 31,837.37/x
  3. Step 3: Cross multiply
    51,953x = 71,733.57 × 31,837.37
  4. Step 4: Simplify right side
    51,953x = 2,283,808,209.51
  5. Step 5: Solve for x
    x = 2,283,808,209.51/51,953
  6. Step 6: Final answer
    x = 43,959.12

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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.