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Finding the Fourth Proportional to 46,365.90, 69,549 and 16,771.85

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Solution

The fourth proportional to 46,365.90, 69,549 and 16,771.85 is: 25,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,365.90 : 69,549 = 16,771.85 : x
  2. Step 2: Convert to fraction form
    46,365.90/69,549 = 16,771.85/x
  3. Step 3: Cross multiply
    46,365.90x = 69,549 × 16,771.85
  4. Step 4: Simplify right side
    46,365.90x = 1,166,465,047.91
  5. Step 5: Solve for x
    x = 1,166,465,047.91/46,365.90
  6. Step 6: Final answer
    x = 25,157.82

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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.