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Finding the Fourth Proportional to 57,198.42, 78,933.69 and 31,706.10

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Solution

The fourth proportional to 57,198.42, 78,933.69 and 31,706.10 is: 43,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.42 : 78,933.69 = 31,706.10 : x
  2. Step 2: Convert to fraction form
    57,198.42/78,933.69 = 31,706.10/x
  3. Step 3: Cross multiply
    57,198.42x = 78,933.69 × 31,706.10
  4. Step 4: Simplify right side
    57,198.42x = 2,502,679,468.51
  5. Step 5: Solve for x
    x = 2,502,679,468.51/57,198.42
  6. Step 6: Final answer
    x = 43,754.35

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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.