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Finding the Fourth Proportional to 46,469.54, 69,693.86 and 13,188.90

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Solution

The fourth proportional to 46,469.54, 69,693.86 and 13,188.90 is: 19,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469.54 : 69,693.86 = 13,188.90 : x
  2. Step 2: Convert to fraction form
    46,469.54/69,693.86 = 13,188.90/x
  3. Step 3: Cross multiply
    46,469.54x = 69,693.86 × 13,188.90
  4. Step 4: Simplify right side
    46,469.54x = 919,185,350.15
  5. Step 5: Solve for x
    x = 919,185,350.15/46,469.54
  6. Step 6: Final answer
    x = 19,780.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.