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Finding the Fourth Proportional to 70,082.33, 105,137.33 and 25,709.46

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Solution

The fourth proportional to 70,082.33, 105,137.33 and 25,709.46 is: 38,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,082.33 : 105,137.33 = 25,709.46 : x
  2. Step 2: Convert to fraction form
    70,082.33/105,137.33 = 25,709.46/x
  3. Step 3: Cross multiply
    70,082.33x = 105,137.33 × 25,709.46
  4. Step 4: Simplify right side
    70,082.33x = 2,703,024,044.42
  5. Step 5: Solve for x
    x = 2,703,024,044.42/70,082.33
  6. Step 6: Final answer
    x = 38,569.27

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Why These Related Problems?

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