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Finding the Fourth Proportional to 30,202.96, 45,283.76 and 15,383.20

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Solution

The fourth proportional to 30,202.96, 45,283.76 and 15,383.20 is: 23,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.96 : 45,283.76 = 15,383.20 : x
  2. Step 2: Convert to fraction form
    30,202.96/45,283.76 = 15,383.20/x
  3. Step 3: Cross multiply
    30,202.96x = 45,283.76 × 15,383.20
  4. Step 4: Simplify right side
    30,202.96x = 696,609,136.83
  5. Step 5: Solve for x
    x = 696,609,136.83/30,202.96
  6. Step 6: Final answer
    x = 23,064.27

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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.