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Finding the Fourth Proportional to 30,751.20, 46,113.30 and 14,105.70

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Solution

The fourth proportional to 30,751.20, 46,113.30 and 14,105.70 is: 21,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.20 : 46,113.30 = 14,105.70 : x
  2. Step 2: Convert to fraction form
    30,751.20/46,113.30 = 14,105.70/x
  3. Step 3: Cross multiply
    30,751.20x = 46,113.30 × 14,105.70
  4. Step 4: Simplify right side
    30,751.20x = 650,460,375.81
  5. Step 5: Solve for x
    x = 650,460,375.81/30,751.20
  6. Step 6: Final answer
    x = 21,152.36

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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.