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Finding the Fourth Proportional to 30,771.69, 42,443.82 and 18,840.93

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Solution

The fourth proportional to 30,771.69, 42,443.82 and 18,840.93 is: 25,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.69 : 42,443.82 = 18,840.93 : x
  2. Step 2: Convert to fraction form
    30,771.69/42,443.82 = 18,840.93/x
  3. Step 3: Cross multiply
    30,771.69x = 42,443.82 × 18,840.93
  4. Step 4: Simplify right side
    30,771.69x = 799,681,041.55
  5. Step 5: Solve for x
    x = 799,681,041.55/30,771.69
  6. Step 6: Final answer
    x = 25,987.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.