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Finding the Fourth Proportional to 30,138.40, 45,198.96 and 10,416.16

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Solution

The fourth proportional to 30,138.40, 45,198.96 and 10,416.16 is: 15,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.40 : 45,198.96 = 10,416.16 : x
  2. Step 2: Convert to fraction form
    30,138.40/45,198.96 = 10,416.16/x
  3. Step 3: Cross multiply
    30,138.40x = 45,198.96 × 10,416.16
  4. Step 4: Simplify right side
    30,138.40x = 470,799,599.19
  5. Step 5: Solve for x
    x = 470,799,599.19/30,138.40
  6. Step 6: Final answer
    x = 15,621.25

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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.