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Finding the Fourth Proportional to 30,287.47, 41,795.78 and 16,858.38

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Solution

The fourth proportional to 30,287.47, 41,795.78 and 16,858.38 is: 23,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.47 : 41,795.78 = 16,858.38 : x
  2. Step 2: Convert to fraction form
    30,287.47/41,795.78 = 16,858.38/x
  3. Step 3: Cross multiply
    30,287.47x = 41,795.78 × 16,858.38
  4. Step 4: Simplify right side
    30,287.47x = 704,609,262.15
  5. Step 5: Solve for x
    x = 704,609,262.15/30,287.47
  6. Step 6: Final answer
    x = 23,264.05

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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.