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Finding the Fourth Proportional to 72,414.36, 99,827.16 and 50,838.42

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Solution

The fourth proportional to 72,414.36, 99,827.16 and 50,838.42 is: 70,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,414.36 : 99,827.16 = 50,838.42 : x
  2. Step 2: Convert to fraction form
    72,414.36/99,827.16 = 50,838.42/x
  3. Step 3: Cross multiply
    72,414.36x = 99,827.16 × 50,838.42
  4. Step 4: Simplify right side
    72,414.36x = 5,075,055,087.49
  5. Step 5: Solve for x
    x = 5,075,055,087.49/72,414.36
  6. Step 6: Final answer
    x = 70,083.55

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