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Finding the Fourth Proportional to 42,830.54, 59,105.43 and 23,709.91

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Solution

The fourth proportional to 42,830.54, 59,105.43 and 23,709.91 is: 32,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,830.54 : 59,105.43 = 23,709.91 : x
  2. Step 2: Convert to fraction form
    42,830.54/59,105.43 = 23,709.91/x
  3. Step 3: Cross multiply
    42,830.54x = 59,105.43 × 23,709.91
  4. Step 4: Simplify right side
    42,830.54x = 1,401,384,278.05
  5. Step 5: Solve for x
    x = 1,401,384,278.05/42,830.54
  6. Step 6: Final answer
    x = 32,719.27

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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.