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Finding the Fourth Proportional to 30,952.82, 46,423.74 and 14,081.91

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Solution

The fourth proportional to 30,952.82, 46,423.74 and 14,081.91 is: 21,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.82 : 46,423.74 = 14,081.91 : x
  2. Step 2: Convert to fraction form
    30,952.82/46,423.74 = 14,081.91/x
  3. Step 3: Cross multiply
    30,952.82x = 46,423.74 × 14,081.91
  4. Step 4: Simplify right side
    30,952.82x = 653,734,626.02
  5. Step 5: Solve for x
    x = 653,734,626.02/30,952.82
  6. Step 6: Final answer
    x = 21,120.36

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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.