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Finding the Fourth Proportional to 32,853.84, 45,338.88 and 18,708

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Solution

The fourth proportional to 32,853.84, 45,338.88 and 18,708 is: 25,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.84 : 45,338.88 = 18,708 : x
  2. Step 2: Convert to fraction form
    32,853.84/45,338.88 = 18,708/x
  3. Step 3: Cross multiply
    32,853.84x = 45,338.88 × 18,708
  4. Step 4: Simplify right side
    32,853.84x = 848,199,767.04
  5. Step 5: Solve for x
    x = 848,199,767.04/32,853.84
  6. Step 6: Final answer
    x = 25,817.37

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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.