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Finding the Fourth Proportional to 51,869.48, 71,581.34 and 31,726

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Solution

The fourth proportional to 51,869.48, 71,581.34 and 31,726 is: 43,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,869.48 : 71,581.34 = 31,726 : x
  2. Step 2: Convert to fraction form
    51,869.48/71,581.34 = 31,726/x
  3. Step 3: Cross multiply
    51,869.48x = 71,581.34 × 31,726
  4. Step 4: Simplify right side
    51,869.48x = 2,270,989,592.84
  5. Step 5: Solve for x
    x = 2,270,989,592.84/51,869.48
  6. Step 6: Final answer
    x = 43,782.77

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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.