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Finding the Fourth Proportional to 32,893, 45,393.42 and 17,989

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Solution

The fourth proportional to 32,893, 45,393.42 and 17,989 is: 24,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893 : 45,393.42 = 17,989 : x
  2. Step 2: Convert to fraction form
    32,893/45,393.42 = 17,989/x
  3. Step 3: Cross multiply
    32,893x = 45,393.42 × 17,989
  4. Step 4: Simplify right side
    32,893x = 816,582,232.38
  5. Step 5: Solve for x
    x = 816,582,232.38/32,893
  6. Step 6: Final answer
    x = 24,825.41

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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.