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Finding the Fourth Proportional to 103,684.26, 155,526.12 and 41,398.50

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Solution

The fourth proportional to 103,684.26, 155,526.12 and 41,398.50 is: 62,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684.26 : 155,526.12 = 41,398.50 : x
  2. Step 2: Convert to fraction form
    103,684.26/155,526.12 = 41,398.50/x
  3. Step 3: Cross multiply
    103,684.26x = 155,526.12 × 41,398.50
  4. Step 4: Simplify right side
    103,684.26x = 6,438,548,078.82
  5. Step 5: Solve for x
    x = 6,438,548,078.82/103,684.26
  6. Step 6: Final answer
    x = 62,097.64

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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.