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Finding the Fourth Proportional to 37,154, 55,736.76 and 12,188.24

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Solution

The fourth proportional to 37,154, 55,736.76 and 12,188.24 is: 18,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,154 : 55,736.76 = 12,188.24 : x
  2. Step 2: Convert to fraction form
    37,154/55,736.76 = 12,188.24/x
  3. Step 3: Cross multiply
    37,154x = 55,736.76 × 12,188.24
  4. Step 4: Simplify right side
    37,154x = 679,333,007.70
  5. Step 5: Solve for x
    x = 679,333,007.70/37,154
  6. Step 6: Final answer
    x = 18,284.25

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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.