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Finding the Fourth Proportional to 30,947.26, 46,423.48 and 9,890.30

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Solution

The fourth proportional to 30,947.26, 46,423.48 and 9,890.30 is: 14,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.26 : 46,423.48 = 9,890.30 : x
  2. Step 2: Convert to fraction form
    30,947.26/46,423.48 = 9,890.30/x
  3. Step 3: Cross multiply
    30,947.26x = 46,423.48 × 9,890.30
  4. Step 4: Simplify right side
    30,947.26x = 459,142,144.24
  5. Step 5: Solve for x
    x = 459,142,144.24/30,947.26
  6. Step 6: Final answer
    x = 14,836.28

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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.