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Finding the Fourth Proportional to 30,090.72, 45,136.62 and 9,314.76

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Solution

The fourth proportional to 30,090.72, 45,136.62 and 9,314.76 is: 13,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090.72 : 45,136.62 = 9,314.76 : x
  2. Step 2: Convert to fraction form
    30,090.72/45,136.62 = 9,314.76/x
  3. Step 3: Cross multiply
    30,090.72x = 45,136.62 × 9,314.76
  4. Step 4: Simplify right side
    30,090.72x = 420,436,782.51
  5. Step 5: Solve for x
    x = 420,436,782.51/30,090.72
  6. Step 6: Final answer
    x = 13,972.31

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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.