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Finding the Fourth Proportional to 32,872, 45,363.52 and 17,968

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Solution

The fourth proportional to 32,872, 45,363.52 and 17,968 is: 24,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872 : 45,363.52 = 17,968 : x
  2. Step 2: Convert to fraction form
    32,872/45,363.52 = 17,968/x
  3. Step 3: Cross multiply
    32,872x = 45,363.52 × 17,968
  4. Step 4: Simplify right side
    32,872x = 815,091,727.36
  5. Step 5: Solve for x
    x = 815,091,727.36/32,872
  6. Step 6: Final answer
    x = 24,795.93

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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.