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Finding the Fourth Proportional to 96,775.38, 145,183.80 and 33,597.50

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Solution

The fourth proportional to 96,775.38, 145,183.80 and 33,597.50 is: 50,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,775.38 : 145,183.80 = 33,597.50 : x
  2. Step 2: Convert to fraction form
    96,775.38/145,183.80 = 33,597.50/x
  3. Step 3: Cross multiply
    96,775.38x = 145,183.80 × 33,597.50
  4. Step 4: Simplify right side
    96,775.38x = 4,877,812,720.50
  5. Step 5: Solve for x
    x = 4,877,812,720.50/96,775.38
  6. Step 6: Final answer
    x = 50,403.45

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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.