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Finding the Fourth Proportional to 42,190.88, 58,225.23 and 23,328

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Solution

The fourth proportional to 42,190.88, 58,225.23 and 23,328 is: 32,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,190.88 : 58,225.23 = 23,328 : x
  2. Step 2: Convert to fraction form
    42,190.88/58,225.23 = 23,328/x
  3. Step 3: Cross multiply
    42,190.88x = 58,225.23 × 23,328
  4. Step 4: Simplify right side
    42,190.88x = 1,358,278,165.44
  5. Step 5: Solve for x
    x = 1,358,278,165.44/42,190.88
  6. Step 6: Final answer
    x = 32,193.65

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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.