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Finding the Fourth Proportional to 42,567, 58,715.82 and 30,611.40

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Solution

The fourth proportional to 42,567, 58,715.82 and 30,611.40 is: 42,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,567 : 58,715.82 = 30,611.40 : x
  2. Step 2: Convert to fraction form
    42,567/58,715.82 = 30,611.40/x
  3. Step 3: Cross multiply
    42,567x = 58,715.82 × 30,611.40
  4. Step 4: Simplify right side
    42,567x = 1,797,373,452.35
  5. Step 5: Solve for x
    x = 1,797,373,452.35/42,567
  6. Step 6: Final answer
    x = 42,224.57

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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.