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Finding the Fourth Proportional to 46,509.52, 69,763.68 and 11,449.48

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Solution

The fourth proportional to 46,509.52, 69,763.68 and 11,449.48 is: 17,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.52 : 69,763.68 = 11,449.48 : x
  2. Step 2: Convert to fraction form
    46,509.52/69,763.68 = 11,449.48/x
  3. Step 3: Cross multiply
    46,509.52x = 69,763.68 × 11,449.48
  4. Step 4: Simplify right side
    46,509.52x = 798,757,858.89
  5. Step 5: Solve for x
    x = 798,757,858.89/46,509.52
  6. Step 6: Final answer
    x = 17,174.07

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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.