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Finding the Fourth Proportional to 50,618, 69,852.12 and 29,409.20

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Solution

The fourth proportional to 50,618, 69,852.12 and 29,409.20 is: 40,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,618 : 69,852.12 = 29,409.20 : x
  2. Step 2: Convert to fraction form
    50,618/69,852.12 = 29,409.20/x
  3. Step 3: Cross multiply
    50,618x = 69,852.12 × 29,409.20
  4. Step 4: Simplify right side
    50,618x = 2,054,294,967.50
  5. Step 5: Solve for x
    x = 2,054,294,967.50/50,618
  6. Step 6: Final answer
    x = 40,584.28

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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.