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Finding the Fourth Proportional to 103,888.50, 155,858.67 and 30,016.50

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Solution

The fourth proportional to 103,888.50, 155,858.67 and 30,016.50 is: 45,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,888.50 : 155,858.67 = 30,016.50 : x
  2. Step 2: Convert to fraction form
    103,888.50/155,858.67 = 30,016.50/x
  3. Step 3: Cross multiply
    103,888.50x = 155,858.67 × 30,016.50
  4. Step 4: Simplify right side
    103,888.50x = 4,678,331,768.06
  5. Step 5: Solve for x
    x = 4,678,331,768.06/103,888.50
  6. Step 6: Final answer
    x = 45,032.24

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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.