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Finding the Fourth Proportional to 68,538.18, 102,781.35 and 26,962.50

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Solution

The fourth proportional to 68,538.18, 102,781.35 and 26,962.50 is: 40,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538.18 : 102,781.35 = 26,962.50 : x
  2. Step 2: Convert to fraction form
    68,538.18/102,781.35 = 26,962.50/x
  3. Step 3: Cross multiply
    68,538.18x = 102,781.35 × 26,962.50
  4. Step 4: Simplify right side
    68,538.18x = 2,771,242,149.38
  5. Step 5: Solve for x
    x = 2,771,242,149.38/68,538.18
  6. Step 6: Final answer
    x = 40,433.55

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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.