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Finding the Fourth Proportional to 30,786.93, 42,483.83 and 18,209.25

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Solution

The fourth proportional to 30,786.93, 42,483.83 and 18,209.25 is: 25,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.93 : 42,483.83 = 18,209.25 : x
  2. Step 2: Convert to fraction form
    30,786.93/42,483.83 = 18,209.25/x
  3. Step 3: Cross multiply
    30,786.93x = 42,483.83 × 18,209.25
  4. Step 4: Simplify right side
    30,786.93x = 773,598,590.38
  5. Step 5: Solve for x
    x = 773,598,590.38/30,786.93
  6. Step 6: Final answer
    x = 25,127.50

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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.