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Finding the Fourth Proportional to 50,816, 70,128.24 and 29,591.84

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Solution

The fourth proportional to 50,816, 70,128.24 and 29,591.84 is: 40,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,816 : 70,128.24 = 29,591.84 : x
  2. Step 2: Convert to fraction form
    50,816/70,128.24 = 29,591.84/x
  3. Step 3: Cross multiply
    50,816x = 70,128.24 × 29,591.84
  4. Step 4: Simplify right side
    50,816x = 2,075,223,657.56
  5. Step 5: Solve for x
    x = 2,075,223,657.56/50,816
  6. Step 6: Final answer
    x = 40,838.00

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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.