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Finding the Fourth Proportional to 70,082.28, 105,137.25 and 25,709.40

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Solution

The fourth proportional to 70,082.28, 105,137.25 and 25,709.40 is: 38,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,082.28 : 105,137.25 = 25,709.40 : x
  2. Step 2: Convert to fraction form
    70,082.28/105,137.25 = 25,709.40/x
  3. Step 3: Cross multiply
    70,082.28x = 105,137.25 × 25,709.40
  4. Step 4: Simplify right side
    70,082.28x = 2,703,015,615.15
  5. Step 5: Solve for x
    x = 2,703,015,615.15/70,082.28
  6. Step 6: Final answer
    x = 38,569.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.