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Finding the Fourth Proportional to 57,822.74, 86,577.50 and 30,062.42

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Solution

The fourth proportional to 57,822.74, 86,577.50 and 30,062.42 is: 45,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,822.74 : 86,577.50 = 30,062.42 : x
  2. Step 2: Convert to fraction form
    57,822.74/86,577.50 = 30,062.42/x
  3. Step 3: Cross multiply
    57,822.74x = 86,577.50 × 30,062.42
  4. Step 4: Simplify right side
    57,822.74x = 2,602,728,809.82
  5. Step 5: Solve for x
    x = 2,602,728,809.82/57,822.74
  6. Step 6: Final answer
    x = 45,012.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.