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Finding the Fourth Proportional to 46,004.34, 69,006.44 and 14,416.83

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Solution

The fourth proportional to 46,004.34, 69,006.44 and 14,416.83 is: 21,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,004.34 : 69,006.44 = 14,416.83 : x
  2. Step 2: Convert to fraction form
    46,004.34/69,006.44 = 14,416.83/x
  3. Step 3: Cross multiply
    46,004.34x = 69,006.44 × 14,416.83
  4. Step 4: Simplify right side
    46,004.34x = 994,854,042.30
  5. Step 5: Solve for x
    x = 994,854,042.30/46,004.34
  6. Step 6: Final answer
    x = 21,625.22

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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.