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Finding the Fourth Proportional to 30,943.26, 46,424.88 and 14,314.20

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Solution

The fourth proportional to 30,943.26, 46,424.88 and 14,314.20 is: 21,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.26 : 46,424.88 = 14,314.20 : x
  2. Step 2: Convert to fraction form
    30,943.26/46,424.88 = 14,314.20/x
  3. Step 3: Cross multiply
    30,943.26x = 46,424.88 × 14,314.20
  4. Step 4: Simplify right side
    30,943.26x = 664,535,017.30
  5. Step 5: Solve for x
    x = 664,535,017.30/30,943.26
  6. Step 6: Final answer
    x = 21,475.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.