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Finding the Fourth Proportional to 103,648.98, 155,406.96 and 49,591.38

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Solution

The fourth proportional to 103,648.98, 155,406.96 and 49,591.38 is: 74,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,648.98 : 155,406.96 = 49,591.38 : x
  2. Step 2: Convert to fraction form
    103,648.98/155,406.96 = 49,591.38/x
  3. Step 3: Cross multiply
    103,648.98x = 155,406.96 × 49,591.38
  4. Step 4: Simplify right side
    103,648.98x = 7,706,845,608.00
  5. Step 5: Solve for x
    x = 7,706,845,608.00/103,648.98
  6. Step 6: Final answer
    x = 74,355.25

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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.