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Finding the Fourth Proportional to 46,024.62, 69,037.09 and 14,004

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Solution

The fourth proportional to 46,024.62, 69,037.09 and 14,004 is: 21,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024.62 : 69,037.09 = 14,004 : x
  2. Step 2: Convert to fraction form
    46,024.62/69,037.09 = 14,004/x
  3. Step 3: Cross multiply
    46,024.62x = 69,037.09 × 14,004
  4. Step 4: Simplify right side
    46,024.62x = 966,795,408.36
  5. Step 5: Solve for x
    x = 966,795,408.36/46,024.62
  6. Step 6: Final answer
    x = 21,006.05

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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.