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Finding the Fourth Proportional to 30,471.36, 45,705.84 and 9,410.56

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Solution

The fourth proportional to 30,471.36, 45,705.84 and 9,410.56 is: 14,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.36 : 45,705.84 = 9,410.56 : x
  2. Step 2: Convert to fraction form
    30,471.36/45,705.84 = 9,410.56/x
  3. Step 3: Cross multiply
    30,471.36x = 45,705.84 × 9,410.56
  4. Step 4: Simplify right side
    30,471.36x = 430,117,549.67
  5. Step 5: Solve for x
    x = 430,117,549.67/30,471.36
  6. Step 6: Final answer
    x = 14,115.47

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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.