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Finding the Fourth Proportional to 54,700.50, 82,050.72 and 17,764.50

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Solution

The fourth proportional to 54,700.50, 82,050.72 and 17,764.50 is: 26,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700.50 : 82,050.72 = 17,764.50 : x
  2. Step 2: Convert to fraction form
    54,700.50/82,050.72 = 17,764.50/x
  3. Step 3: Cross multiply
    54,700.50x = 82,050.72 × 17,764.50
  4. Step 4: Simplify right side
    54,700.50x = 1,457,590,015.44
  5. Step 5: Solve for x
    x = 1,457,590,015.44/54,700.50
  6. Step 6: Final answer
    x = 26,646.74

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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.