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Finding the Fourth Proportional to 46,469.10, 69,703.57 and 13,189.49

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Solution

The fourth proportional to 46,469.10, 69,703.57 and 13,189.49 is: 19,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469.10 : 69,703.57 = 13,189.49 : x
  2. Step 2: Convert to fraction form
    46,469.10/69,703.57 = 13,189.49/x
  3. Step 3: Cross multiply
    46,469.10x = 69,703.57 × 13,189.49
  4. Step 4: Simplify right side
    46,469.10x = 919,354,539.48
  5. Step 5: Solve for x
    x = 919,354,539.48/46,469.10
  6. Step 6: Final answer
    x = 19,784.21

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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.