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Finding the Fourth Proportional to 32,748, 45,192.36 and 17,844

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Solution

The fourth proportional to 32,748, 45,192.36 and 17,844 is: 24,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,748 : 45,192.36 = 17,844 : x
  2. Step 2: Convert to fraction form
    32,748/45,192.36 = 17,844/x
  3. Step 3: Cross multiply
    32,748x = 45,192.36 × 17,844
  4. Step 4: Simplify right side
    32,748x = 806,412,471.84
  5. Step 5: Solve for x
    x = 806,412,471.84/32,748
  6. Step 6: Final answer
    x = 24,624.79

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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.