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Finding the Fourth Proportional to 42,197.12, 58,229.70 and 23,333

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Solution

The fourth proportional to 42,197.12, 58,229.70 and 23,333 is: 32,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,197.12 : 58,229.70 = 23,333 : x
  2. Step 2: Convert to fraction form
    42,197.12/58,229.70 = 23,333/x
  3. Step 3: Cross multiply
    42,197.12x = 58,229.70 × 23,333
  4. Step 4: Simplify right side
    42,197.12x = 1,358,673,590.10
  5. Step 5: Solve for x
    x = 1,358,673,590.10/42,197.12
  6. Step 6: Final answer
    x = 32,198.25

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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.