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Finding the Fourth Proportional to 46,478.42, 69,703.65 and 13,201.19

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Solution

The fourth proportional to 46,478.42, 69,703.65 and 13,201.19 is: 19,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478.42 : 69,703.65 = 13,201.19 : x
  2. Step 2: Convert to fraction form
    46,478.42/69,703.65 = 13,201.19/x
  3. Step 3: Cross multiply
    46,478.42x = 69,703.65 × 13,201.19
  4. Step 4: Simplify right side
    46,478.42x = 920,170,778.83
  5. Step 5: Solve for x
    x = 920,170,778.83/46,478.42
  6. Step 6: Final answer
    x = 19,797.81

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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.