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Finding the Fourth Proportional to 29,407, 40,581.66 and 16,159

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Solution

The fourth proportional to 29,407, 40,581.66 and 16,159 is: 22,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407 : 40,581.66 = 16,159 : x
  2. Step 2: Convert to fraction form
    29,407/40,581.66 = 16,159/x
  3. Step 3: Cross multiply
    29,407x = 40,581.66 × 16,159
  4. Step 4: Simplify right side
    29,407x = 655,759,043.94
  5. Step 5: Solve for x
    x = 655,759,043.94/29,407
  6. Step 6: Final answer
    x = 22,299.42

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