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Finding the Fourth Proportional to 30,010.61, 41,420.38 and 19,783.69

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Solution

The fourth proportional to 30,010.61, 41,420.38 and 19,783.69 is: 27,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.61 : 41,420.38 = 19,783.69 : x
  2. Step 2: Convert to fraction form
    30,010.61/41,420.38 = 19,783.69/x
  3. Step 3: Cross multiply
    30,010.61x = 41,420.38 × 19,783.69
  4. Step 4: Simplify right side
    30,010.61x = 819,447,991.21
  5. Step 5: Solve for x
    x = 819,447,991.21/30,010.61
  6. Step 6: Final answer
    x = 27,305.27

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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.