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Finding the Fourth Proportional to 54,700.75, 82,051.13 and 17,764.75

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Solution

The fourth proportional to 54,700.75, 82,051.13 and 17,764.75 is: 26,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700.75 : 82,051.13 = 17,764.75 : x
  2. Step 2: Convert to fraction form
    54,700.75/82,051.13 = 17,764.75/x
  3. Step 3: Cross multiply
    54,700.75x = 82,051.13 × 17,764.75
  4. Step 4: Simplify right side
    54,700.75x = 1,457,617,811.67
  5. Step 5: Solve for x
    x = 1,457,617,811.67/54,700.75
  6. Step 6: Final answer
    x = 26,647.13

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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.