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Finding the Fourth Proportional to 42,830.62, 59,105 and 23,711.16

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Solution

The fourth proportional to 42,830.62, 59,105 and 23,711.16 is: 32,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,830.62 : 59,105 = 23,711.16 : x
  2. Step 2: Convert to fraction form
    42,830.62/59,105 = 23,711.16/x
  3. Step 3: Cross multiply
    42,830.62x = 59,105 × 23,711.16
  4. Step 4: Simplify right side
    42,830.62x = 1,401,448,111.80
  5. Step 5: Solve for x
    x = 1,401,448,111.80/42,830.62
  6. Step 6: Final answer
    x = 32,720.71

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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.