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Finding the Fourth Proportional to 57,014.30, 78,674.28 and 33,142.16

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Solution

The fourth proportional to 57,014.30, 78,674.28 and 33,142.16 is: 45,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,014.30 : 78,674.28 = 33,142.16 : x
  2. Step 2: Convert to fraction form
    57,014.30/78,674.28 = 33,142.16/x
  3. Step 3: Cross multiply
    57,014.30x = 78,674.28 × 33,142.16
  4. Step 4: Simplify right side
    57,014.30x = 2,607,435,575.64
  5. Step 5: Solve for x
    x = 2,607,435,575.64/57,014.30
  6. Step 6: Final answer
    x = 45,733.01

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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.