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Finding the Fourth Proportional to 57,118.77, 78,821.31 and 31,623.33

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Solution

The fourth proportional to 57,118.77, 78,821.31 and 31,623.33 is: 43,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,118.77 : 78,821.31 = 31,623.33 : x
  2. Step 2: Convert to fraction form
    57,118.77/78,821.31 = 31,623.33/x
  3. Step 3: Cross multiply
    57,118.77x = 78,821.31 × 31,623.33
  4. Step 4: Simplify right side
    57,118.77x = 2,492,592,297.16
  5. Step 5: Solve for x
    x = 2,492,592,297.16/57,118.77
  6. Step 6: Final answer
    x = 43,638.76

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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.