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Finding the Fourth Proportional to 29,524.72, 40,742.66 and 16,776.24

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Solution

The fourth proportional to 29,524.72, 40,742.66 and 16,776.24 is: 23,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524.72 : 40,742.66 = 16,776.24 : x
  2. Step 2: Convert to fraction form
    29,524.72/40,742.66 = 16,776.24/x
  3. Step 3: Cross multiply
    29,524.72x = 40,742.66 × 16,776.24
  4. Step 4: Simplify right side
    29,524.72x = 683,508,642.40
  5. Step 5: Solve for x
    x = 683,508,642.40/29,524.72
  6. Step 6: Final answer
    x = 23,150.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.