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Finding the Fourth Proportional to 30,814.40, 46,216.96 and 9,751.70

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Solution

The fourth proportional to 30,814.40, 46,216.96 and 9,751.70 is: 14,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.40 : 46,216.96 = 9,751.70 : x
  2. Step 2: Convert to fraction form
    30,814.40/46,216.96 = 9,751.70/x
  3. Step 3: Cross multiply
    30,814.40x = 46,216.96 × 9,751.70
  4. Step 4: Simplify right side
    30,814.40x = 450,693,928.83
  5. Step 5: Solve for x
    x = 450,693,928.83/30,814.40
  6. Step 6: Final answer
    x = 14,626.08

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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.