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Finding the Fourth Proportional to 63,098.20, 94,450.38 and 46,477

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Solution

The fourth proportional to 63,098.20, 94,450.38 and 46,477 is: 69,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,098.20 : 94,450.38 = 46,477 : x
  2. Step 2: Convert to fraction form
    63,098.20/94,450.38 = 46,477/x
  3. Step 3: Cross multiply
    63,098.20x = 94,450.38 × 46,477
  4. Step 4: Simplify right side
    63,098.20x = 4,389,770,311.26
  5. Step 5: Solve for x
    x = 4,389,770,311.26/63,098.20
  6. Step 6: Final answer
    x = 69,570.45

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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.