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Finding the Fourth Proportional to 32,442.63, 48,621.54 and 16,634.25

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Solution

The fourth proportional to 32,442.63, 48,621.54 and 16,634.25 is: 24,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.63 : 48,621.54 = 16,634.25 : x
  2. Step 2: Convert to fraction form
    32,442.63/48,621.54 = 16,634.25/x
  3. Step 3: Cross multiply
    32,442.63x = 48,621.54 × 16,634.25
  4. Step 4: Simplify right side
    32,442.63x = 808,782,851.75
  5. Step 5: Solve for x
    x = 808,782,851.75/32,442.63
  6. Step 6: Final answer
    x = 24,929.63

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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.