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Finding the Fourth Proportional to 29,771, 44,643.12 and 21,416

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Solution

The fourth proportional to 29,771, 44,643.12 and 21,416 is: 32,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771 : 44,643.12 = 21,416 : x
  2. Step 2: Convert to fraction form
    29,771/44,643.12 = 21,416/x
  3. Step 3: Cross multiply
    29,771x = 44,643.12 × 21,416
  4. Step 4: Simplify right side
    29,771x = 956,077,057.92
  5. Step 5: Solve for x
    x = 956,077,057.92/29,771
  6. Step 6: Final answer
    x = 32,114.37

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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.