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Finding the Fourth Proportional to 41,875.57, 57,788.64 and 22,755.34

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Solution

The fourth proportional to 41,875.57, 57,788.64 and 22,755.34 is: 31,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,875.57 : 57,788.64 = 22,755.34 : x
  2. Step 2: Convert to fraction form
    41,875.57/57,788.64 = 22,755.34/x
  3. Step 3: Cross multiply
    41,875.57x = 57,788.64 × 22,755.34
  4. Step 4: Simplify right side
    41,875.57x = 1,314,999,862.39
  5. Step 5: Solve for x
    x = 1,314,999,862.39/41,875.57
  6. Step 6: Final answer
    x = 31,402.56

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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.