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Finding the Fourth Proportional to 50,147.84, 75,223.84 and 41,366.40

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Solution

The fourth proportional to 50,147.84, 75,223.84 and 41,366.40 is: 62,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,147.84 : 75,223.84 = 41,366.40 : x
  2. Step 2: Convert to fraction form
    50,147.84/75,223.84 = 41,366.40/x
  3. Step 3: Cross multiply
    50,147.84x = 75,223.84 × 41,366.40
  4. Step 4: Simplify right side
    50,147.84x = 3,111,739,454.98
  5. Step 5: Solve for x
    x = 3,111,739,454.98/50,147.84
  6. Step 6: Final answer
    x = 62,051.32

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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.