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Finding the Fourth Proportional to 29,314.99, 43,811.56 and 21,434.10

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Solution

The fourth proportional to 29,314.99, 43,811.56 and 21,434.10 is: 32,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.99 : 43,811.56 = 21,434.10 : x
  2. Step 2: Convert to fraction form
    29,314.99/43,811.56 = 21,434.10/x
  3. Step 3: Cross multiply
    29,314.99x = 43,811.56 × 21,434.10
  4. Step 4: Simplify right side
    29,314.99x = 939,061,358.20
  5. Step 5: Solve for x
    x = 939,061,358.20/29,314.99
  6. Step 6: Final answer
    x = 32,033.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.