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Finding the Fourth Proportional to 30,439.40, 45,648.16 and 11,709.87

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Solution

The fourth proportional to 30,439.40, 45,648.16 and 11,709.87 is: 17,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.40 : 45,648.16 = 11,709.87 : x
  2. Step 2: Convert to fraction form
    30,439.40/45,648.16 = 11,709.87/x
  3. Step 3: Cross multiply
    30,439.40x = 45,648.16 × 11,709.87
  4. Step 4: Simplify right side
    30,439.40x = 534,533,818.88
  5. Step 5: Solve for x
    x = 534,533,818.88/30,439.40
  6. Step 6: Final answer
    x = 17,560.59

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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.