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Finding the Fourth Proportional to 30,722.70, 46,102 and 12,952.28

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Solution

The fourth proportional to 30,722.70, 46,102 and 12,952.28 is: 19,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722.70 : 46,102 = 12,952.28 : x
  2. Step 2: Convert to fraction form
    30,722.70/46,102 = 12,952.28/x
  3. Step 3: Cross multiply
    30,722.70x = 46,102 × 12,952.28
  4. Step 4: Simplify right side
    30,722.70x = 597,126,012.56
  5. Step 5: Solve for x
    x = 597,126,012.56/30,722.70
  6. Step 6: Final answer
    x = 19,435.99

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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.