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Finding the Fourth Proportional to 30,161.84, 45,257.75 and 13,533.62

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Solution

The fourth proportional to 30,161.84, 45,257.75 and 13,533.62 is: 20,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,161.84 : 45,257.75 = 13,533.62 : x
  2. Step 2: Convert to fraction form
    30,161.84/45,257.75 = 13,533.62/x
  3. Step 3: Cross multiply
    30,161.84x = 45,257.75 × 13,533.62
  4. Step 4: Simplify right side
    30,161.84x = 612,501,190.56
  5. Step 5: Solve for x
    x = 612,501,190.56/30,161.84
  6. Step 6: Final answer
    x = 20,307.16

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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.