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Finding the Fourth Proportional to 95,202.84, 142,798.50 and 25,082.04

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Solution

The fourth proportional to 95,202.84, 142,798.50 and 25,082.04 is: 37,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,202.84 : 142,798.50 = 25,082.04 : x
  2. Step 2: Convert to fraction form
    95,202.84/142,798.50 = 25,082.04/x
  3. Step 3: Cross multiply
    95,202.84x = 142,798.50 × 25,082.04
  4. Step 4: Simplify right side
    95,202.84x = 3,581,677,688.94
  5. Step 5: Solve for x
    x = 3,581,677,688.94/95,202.84
  6. Step 6: Final answer
    x = 37,621.54

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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.