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Finding the Fourth Proportional to 29,467.42, 40,562.32 and 25,684

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Solution

The fourth proportional to 29,467.42, 40,562.32 and 25,684 is: 35,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467.42 : 40,562.32 = 25,684 : x
  2. Step 2: Convert to fraction form
    29,467.42/40,562.32 = 25,684/x
  3. Step 3: Cross multiply
    29,467.42x = 40,562.32 × 25,684
  4. Step 4: Simplify right side
    29,467.42x = 1,041,802,626.88
  5. Step 5: Solve for x
    x = 1,041,802,626.88/29,467.42
  6. Step 6: Final answer
    x = 35,354.39

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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.