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Finding the Fourth Proportional to 50,538.45, 75,807.45 and 39,454.50

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Solution

The fourth proportional to 50,538.45, 75,807.45 and 39,454.50 is: 59,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.45 : 75,807.45 = 39,454.50 : x
  2. Step 2: Convert to fraction form
    50,538.45/75,807.45 = 39,454.50/x
  3. Step 3: Cross multiply
    50,538.45x = 75,807.45 × 39,454.50
  4. Step 4: Simplify right side
    50,538.45x = 2,990,945,036.03
  5. Step 5: Solve for x
    x = 2,990,945,036.03/50,538.45
  6. Step 6: Final answer
    x = 59,181.57

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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.