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Finding the Fourth Proportional to 30,146.53, 45,226.27 and 10,158

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Solution

The fourth proportional to 30,146.53, 45,226.27 and 10,158 is: 15,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.53 : 45,226.27 = 10,158 : x
  2. Step 2: Convert to fraction form
    30,146.53/45,226.27 = 10,158/x
  3. Step 3: Cross multiply
    30,146.53x = 45,226.27 × 10,158
  4. Step 4: Simplify right side
    30,146.53x = 459,408,399.87
  5. Step 5: Solve for x
    x = 459,408,399.87/30,146.53
  6. Step 6: Final answer
    x = 15,239.18

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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.