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Finding the Fourth Proportional to 43,082.28, 59,458.86 and 24,219

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Solution

The fourth proportional to 43,082.28, 59,458.86 and 24,219 is: 33,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,082.28 : 59,458.86 = 24,219 : x
  2. Step 2: Convert to fraction form
    43,082.28/59,458.86 = 24,219/x
  3. Step 3: Cross multiply
    43,082.28x = 59,458.86 × 24,219
  4. Step 4: Simplify right side
    43,082.28x = 1,440,034,130.34
  5. Step 5: Solve for x
    x = 1,440,034,130.34/43,082.28
  6. Step 6: Final answer
    x = 33,425.21

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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.