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Finding the Fourth Proportional to 35,766.78, 53,592.93 and 30,193.98

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Solution

The fourth proportional to 35,766.78, 53,592.93 and 30,193.98 is: 45,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.78 : 53,592.93 = 30,193.98 : x
  2. Step 2: Convert to fraction form
    35,766.78/53,592.93 = 30,193.98/x
  3. Step 3: Cross multiply
    35,766.78x = 53,592.93 × 30,193.98
  4. Step 4: Simplify right side
    35,766.78x = 1,618,183,856.56
  5. Step 5: Solve for x
    x = 1,618,183,856.56/35,766.78
  6. Step 6: Final answer
    x = 45,242.65

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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.