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Finding the Fourth Proportional to 103,584.39, 155,376.62 and 41,298.63

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Solution

The fourth proportional to 103,584.39, 155,376.62 and 41,298.63 is: 61,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,584.39 : 155,376.62 = 41,298.63 : x
  2. Step 2: Convert to fraction form
    103,584.39/155,376.62 = 41,298.63/x
  3. Step 3: Cross multiply
    103,584.39x = 155,376.62 × 41,298.63
  4. Step 4: Simplify right side
    103,584.39x = 6,416,841,540.03
  5. Step 5: Solve for x
    x = 6,416,841,540.03/103,584.39
  6. Step 6: Final answer
    x = 61,947.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.