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Finding the Fourth Proportional to 33,482.96, 46,204.68 and 18,578

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Solution

The fourth proportional to 33,482.96, 46,204.68 and 18,578 is: 25,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,482.96 : 46,204.68 = 18,578 : x
  2. Step 2: Convert to fraction form
    33,482.96/46,204.68 = 18,578/x
  3. Step 3: Cross multiply
    33,482.96x = 46,204.68 × 18,578
  4. Step 4: Simplify right side
    33,482.96x = 858,390,545.04
  5. Step 5: Solve for x
    x = 858,390,545.04/33,482.96
  6. Step 6: Final answer
    x = 25,636.64

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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.