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Finding the Fourth Proportional to 30,202.27, 45,293.14 and 11,477.80

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Solution

The fourth proportional to 30,202.27, 45,293.14 and 11,477.80 is: 17,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.27 : 45,293.14 = 11,477.80 : x
  2. Step 2: Convert to fraction form
    30,202.27/45,293.14 = 11,477.80/x
  3. Step 3: Cross multiply
    30,202.27x = 45,293.14 × 11,477.80
  4. Step 4: Simplify right side
    30,202.27x = 519,865,673.26
  5. Step 5: Solve for x
    x = 519,865,673.26/30,202.27
  6. Step 6: Final answer
    x = 17,212.80

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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.