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Finding the Fourth Proportional to 75,072.74, 103,685.42 and 51,157.90

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Solution

The fourth proportional to 75,072.74, 103,685.42 and 51,157.90 is: 70,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,072.74 : 103,685.42 = 51,157.90 : x
  2. Step 2: Convert to fraction form
    75,072.74/103,685.42 = 51,157.90/x
  3. Step 3: Cross multiply
    75,072.74x = 103,685.42 × 51,157.90
  4. Step 4: Simplify right side
    75,072.74x = 5,304,328,347.82
  5. Step 5: Solve for x
    x = 5,304,328,347.82/75,072.74
  6. Step 6: Final answer
    x = 70,655.85

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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.