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Finding the Fourth Proportional to 30,129.57, 45,199.82 and 10,410.12

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Solution

The fourth proportional to 30,129.57, 45,199.82 and 10,410.12 is: 15,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.57 : 45,199.82 = 10,410.12 : x
  2. Step 2: Convert to fraction form
    30,129.57/45,199.82 = 10,410.12/x
  3. Step 3: Cross multiply
    30,129.57x = 45,199.82 × 10,410.12
  4. Step 4: Simplify right side
    30,129.57x = 470,535,576.20
  5. Step 5: Solve for x
    x = 470,535,576.20/30,129.57
  6. Step 6: Final answer
    x = 15,617.07

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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.