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Finding the Fourth Proportional to 29,767.25, 44,653.50 and 11,047.50

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Solution

The fourth proportional to 29,767.25, 44,653.50 and 11,047.50 is: 16,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.25 : 44,653.50 = 11,047.50 : x
  2. Step 2: Convert to fraction form
    29,767.25/44,653.50 = 11,047.50/x
  3. Step 3: Cross multiply
    29,767.25x = 44,653.50 × 11,047.50
  4. Step 4: Simplify right side
    29,767.25x = 493,309,317.98
  5. Step 5: Solve for x
    x = 493,309,317.98/29,767.25
  6. Step 6: Final answer
    x = 16,572.22

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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.