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Finding the Fourth Proportional to 57,870.36, 86,736.09 and 29,803.62

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Solution

The fourth proportional to 57,870.36, 86,736.09 and 29,803.62 is: 44,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,870.36 : 86,736.09 = 29,803.62 : x
  2. Step 2: Convert to fraction form
    57,870.36/86,736.09 = 29,803.62/x
  3. Step 3: Cross multiply
    57,870.36x = 86,736.09 × 29,803.62
  4. Step 4: Simplify right side
    57,870.36x = 2,585,049,466.65
  5. Step 5: Solve for x
    x = 2,585,049,466.65/57,870.36
  6. Step 6: Final answer
    x = 44,669.66

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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.