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Finding the Fourth Proportional to 31,259.63, 46,879.65 and 9,074.54

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Solution

The fourth proportional to 31,259.63, 46,879.65 and 9,074.54 is: 13,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,259.63 : 46,879.65 = 9,074.54 : x
  2. Step 2: Convert to fraction form
    31,259.63/46,879.65 = 9,074.54/x
  3. Step 3: Cross multiply
    31,259.63x = 46,879.65 × 9,074.54
  4. Step 4: Simplify right side
    31,259.63x = 425,411,259.11
  5. Step 5: Solve for x
    x = 425,411,259.11/31,259.63
  6. Step 6: Final answer
    x = 13,608.97

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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.