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Finding the Fourth Proportional to 30,077.78, 45,124.47 and 9,016.97

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Solution

The fourth proportional to 30,077.78, 45,124.47 and 9,016.97 is: 13,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.78 : 45,124.47 = 9,016.97 : x
  2. Step 2: Convert to fraction form
    30,077.78/45,124.47 = 9,016.97/x
  3. Step 3: Cross multiply
    30,077.78x = 45,124.47 × 9,016.97
  4. Step 4: Simplify right side
    30,077.78x = 406,885,766.63
  5. Step 5: Solve for x
    x = 406,885,766.63/30,077.78
  6. Step 6: Final answer
    x = 13,527.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.