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Finding the Fourth Proportional to 50,454, 69,633.20 and 32,600.93

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Solution

The fourth proportional to 50,454, 69,633.20 and 32,600.93 is: 44,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,454 : 69,633.20 = 32,600.93 : x
  2. Step 2: Convert to fraction form
    50,454/69,633.20 = 32,600.93/x
  3. Step 3: Cross multiply
    50,454x = 69,633.20 × 32,600.93
  4. Step 4: Simplify right side
    50,454x = 2,270,106,812.21
  5. Step 5: Solve for x
    x = 2,270,106,812.21/50,454
  6. Step 6: Final answer
    x = 44,993.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.