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Finding the Fourth Proportional to 103,464.50, 155,196.75 and 29,592.50

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Solution

The fourth proportional to 103,464.50, 155,196.75 and 29,592.50 is: 44,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464.50 : 155,196.75 = 29,592.50 : x
  2. Step 2: Convert to fraction form
    103,464.50/155,196.75 = 29,592.50/x
  3. Step 3: Cross multiply
    103,464.50x = 155,196.75 × 29,592.50
  4. Step 4: Simplify right side
    103,464.50x = 4,592,659,824.38
  5. Step 5: Solve for x
    x = 4,592,659,824.38/103,464.50
  6. Step 6: Final answer
    x = 44,388.75

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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.