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Finding the Fourth Proportional to 35,880.32, 49,505.64 and 21,728

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Solution

The fourth proportional to 35,880.32, 49,505.64 and 21,728 is: 29,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.32 : 49,505.64 = 21,728 : x
  2. Step 2: Convert to fraction form
    35,880.32/49,505.64 = 21,728/x
  3. Step 3: Cross multiply
    35,880.32x = 49,505.64 × 21,728
  4. Step 4: Simplify right side
    35,880.32x = 1,075,658,545.92
  5. Step 5: Solve for x
    x = 1,075,658,545.92/35,880.32
  6. Step 6: Final answer
    x = 29,979.07

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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.