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Finding the Fourth Proportional to 50,653.69, 69,902.12 and 29,434.32

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Solution

The fourth proportional to 50,653.69, 69,902.12 and 29,434.32 is: 40,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.69 : 69,902.12 = 29,434.32 : x
  2. Step 2: Convert to fraction form
    50,653.69/69,902.12 = 29,434.32/x
  3. Step 3: Cross multiply
    50,653.69x = 69,902.12 × 29,434.32
  4. Step 4: Simplify right side
    50,653.69x = 2,057,521,442.34
  5. Step 5: Solve for x
    x = 2,057,521,442.34/50,653.69
  6. Step 6: Final answer
    x = 40,619.38

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Why These Related Problems?

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