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Finding the Fourth Proportional to 30,602.30, 45,902.37 and 12,134.30

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Solution

The fourth proportional to 30,602.30, 45,902.37 and 12,134.30 is: 18,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.30 : 45,902.37 = 12,134.30 : x
  2. Step 2: Convert to fraction form
    30,602.30/45,902.37 = 12,134.30/x
  3. Step 3: Cross multiply
    30,602.30x = 45,902.37 × 12,134.30
  4. Step 4: Simplify right side
    30,602.30x = 556,993,128.29
  5. Step 5: Solve for x
    x = 556,993,128.29/30,602.30
  6. Step 6: Final answer
    x = 18,201.02

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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.