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Finding the Fourth Proportional to 36,478.29, 54,709.50 and 9,823.62

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Solution

The fourth proportional to 36,478.29, 54,709.50 and 9,823.62 is: 14,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.29 : 54,709.50 = 9,823.62 : x
  2. Step 2: Convert to fraction form
    36,478.29/54,709.50 = 9,823.62/x
  3. Step 3: Cross multiply
    36,478.29x = 54,709.50 × 9,823.62
  4. Step 4: Simplify right side
    36,478.29x = 537,445,338.39
  5. Step 5: Solve for x
    x = 537,445,338.39/36,478.29
  6. Step 6: Final answer
    x = 14,733.29

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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.