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Finding the Fourth Proportional to 33,499, 46,229.16 and 18,595

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Solution

The fourth proportional to 33,499, 46,229.16 and 18,595 is: 25,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,499 : 46,229.16 = 18,595 : x
  2. Step 2: Convert to fraction form
    33,499/46,229.16 = 18,595/x
  3. Step 3: Cross multiply
    33,499x = 46,229.16 × 18,595
  4. Step 4: Simplify right side
    33,499x = 859,631,230.20
  5. Step 5: Solve for x
    x = 859,631,230.20/33,499
  6. Step 6: Final answer
    x = 25,661.40

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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.