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Finding the Fourth Proportional to 37,194.83, 55,792.23 and 9,492.83

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Solution

The fourth proportional to 37,194.83, 55,792.23 and 9,492.83 is: 14,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194.83 : 55,792.23 = 9,492.83 : x
  2. Step 2: Convert to fraction form
    37,194.83/55,792.23 = 9,492.83/x
  3. Step 3: Cross multiply
    37,194.83x = 55,792.23 × 9,492.83
  4. Step 4: Simplify right side
    37,194.83x = 529,626,049.37
  5. Step 5: Solve for x
    x = 529,626,049.37/37,194.83
  6. Step 6: Final answer
    x = 14,239.24

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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.