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Finding the Fourth Proportional to 114,457.88, 171,685.11 and 27,904.10

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Solution

The fourth proportional to 114,457.88, 171,685.11 and 27,904.10 is: 41,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,457.88 : 171,685.11 = 27,904.10 : x
  2. Step 2: Convert to fraction form
    114,457.88/171,685.11 = 27,904.10/x
  3. Step 3: Cross multiply
    114,457.88x = 171,685.11 × 27,904.10
  4. Step 4: Simplify right side
    114,457.88x = 4,790,718,477.95
  5. Step 5: Solve for x
    x = 4,790,718,477.95/114,457.88
  6. Step 6: Final answer
    x = 41,855.73

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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.