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Finding the Fourth Proportional to 30,014.40, 45,025.92 and 10,016.64

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Solution

The fourth proportional to 30,014.40, 45,025.92 and 10,016.64 is: 15,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.40 : 45,025.92 = 10,016.64 : x
  2. Step 2: Convert to fraction form
    30,014.40/45,025.92 = 10,016.64/x
  3. Step 3: Cross multiply
    30,014.40x = 45,025.92 × 10,016.64
  4. Step 4: Simplify right side
    30,014.40x = 451,008,431.31
  5. Step 5: Solve for x
    x = 451,008,431.31/30,014.40
  6. Step 6: Final answer
    x = 15,026.40

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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.