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Finding the Fourth Proportional to 30,509.40, 45,761.34 and 10,786.98

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Solution

The fourth proportional to 30,509.40, 45,761.34 and 10,786.98 is: 16,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.40 : 45,761.34 = 10,786.98 : x
  2. Step 2: Convert to fraction form
    30,509.40/45,761.34 = 10,786.98/x
  3. Step 3: Cross multiply
    30,509.40x = 45,761.34 × 10,786.98
  4. Step 4: Simplify right side
    30,509.40x = 493,626,659.35
  5. Step 5: Solve for x
    x = 493,626,659.35/30,509.40
  6. Step 6: Final answer
    x = 16,179.49

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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.