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Finding the Fourth Proportional to 32,744, 45,186.84 and 17,840

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Solution

The fourth proportional to 32,744, 45,186.84 and 17,840 is: 24,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744 : 45,186.84 = 17,840 : x
  2. Step 2: Convert to fraction form
    32,744/45,186.84 = 17,840/x
  3. Step 3: Cross multiply
    32,744x = 45,186.84 × 17,840
  4. Step 4: Simplify right side
    32,744x = 806,133,225.60
  5. Step 5: Solve for x
    x = 806,133,225.60/32,744
  6. Step 6: Final answer
    x = 24,619.27

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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.