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Finding the Fourth Proportional to 103,675.86, 155,546.64 and 37,114.50

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Solution

The fourth proportional to 103,675.86, 155,546.64 and 37,114.50 is: 55,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,675.86 : 155,546.64 = 37,114.50 : x
  2. Step 2: Convert to fraction form
    103,675.86/155,546.64 = 37,114.50/x
  3. Step 3: Cross multiply
    103,675.86x = 155,546.64 × 37,114.50
  4. Step 4: Simplify right side
    103,675.86x = 5,773,035,770.28
  5. Step 5: Solve for x
    x = 5,773,035,770.28/103,675.86
  6. Step 6: Final answer
    x = 55,683.51

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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.