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Finding the Fourth Proportional to 68,971.50, 103,457.25 and 19,723.50

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Solution

The fourth proportional to 68,971.50, 103,457.25 and 19,723.50 is: 29,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,971.50 : 103,457.25 = 19,723.50 : x
  2. Step 2: Convert to fraction form
    68,971.50/103,457.25 = 19,723.50/x
  3. Step 3: Cross multiply
    68,971.50x = 103,457.25 × 19,723.50
  4. Step 4: Simplify right side
    68,971.50x = 2,040,539,070.38
  5. Step 5: Solve for x
    x = 2,040,539,070.38/68,971.50
  6. Step 6: Final answer
    x = 29,585.25

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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.