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Finding the Fourth Proportional to 57,119.77, 78,822.69 and 31,624.33

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Solution

The fourth proportional to 57,119.77, 78,822.69 and 31,624.33 is: 43,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,119.77 : 78,822.69 = 31,624.33 : x
  2. Step 2: Convert to fraction form
    57,119.77/78,822.69 = 31,624.33/x
  3. Step 3: Cross multiply
    57,119.77x = 78,822.69 × 31,624.33
  4. Step 4: Simplify right side
    57,119.77x = 2,492,714,760.05
  5. Step 5: Solve for x
    x = 2,492,714,760.05/57,119.77
  6. Step 6: Final answer
    x = 43,640.14

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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.