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Finding the Fourth Proportional to 29,728.36, 44,557 and 22,653.42

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Solution

The fourth proportional to 29,728.36, 44,557 and 22,653.42 is: 33,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,728.36 : 44,557 = 22,653.42 : x
  2. Step 2: Convert to fraction form
    29,728.36/44,557 = 22,653.42/x
  3. Step 3: Cross multiply
    29,728.36x = 44,557 × 22,653.42
  4. Step 4: Simplify right side
    29,728.36x = 1,009,368,212.16
  5. Step 5: Solve for x
    x = 1,009,368,212.16/29,728.36
  6. Step 6: Final answer
    x = 33,953.04

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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.