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Finding the Fourth Proportional to 30,077.33, 45,122.27 and 9,016.52

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Solution

The fourth proportional to 30,077.33, 45,122.27 and 9,016.52 is: 13,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.33 : 45,122.27 = 9,016.52 : x
  2. Step 2: Convert to fraction form
    30,077.33/45,122.27 = 9,016.52/x
  3. Step 3: Cross multiply
    30,077.33x = 45,122.27 × 9,016.52
  4. Step 4: Simplify right side
    30,077.33x = 406,845,579.21
  5. Step 5: Solve for x
    x = 406,845,579.21/30,077.33
  6. Step 6: Final answer
    x = 13,526.65

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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.