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Finding the Fourth Proportional to 57,010.98, 78,674.62 and 31,518.01

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Solution

The fourth proportional to 57,010.98, 78,674.62 and 31,518.01 is: 43,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,010.98 : 78,674.62 = 31,518.01 : x
  2. Step 2: Convert to fraction form
    57,010.98/78,674.62 = 31,518.01/x
  3. Step 3: Cross multiply
    57,010.98x = 78,674.62 × 31,518.01
  4. Step 4: Simplify right side
    57,010.98x = 2,479,667,459.91
  5. Step 5: Solve for x
    x = 2,479,667,459.91/57,010.98
  6. Step 6: Final answer
    x = 43,494.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.