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Finding the Fourth Proportional to 34,336.96, 51,492.48 and 15,856

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Solution

The fourth proportional to 34,336.96, 51,492.48 and 15,856 is: 23,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,336.96 : 51,492.48 = 15,856 : x
  2. Step 2: Convert to fraction form
    34,336.96/51,492.48 = 15,856/x
  3. Step 3: Cross multiply
    34,336.96x = 51,492.48 × 15,856
  4. Step 4: Simplify right side
    34,336.96x = 816,464,762.88
  5. Step 5: Solve for x
    x = 816,464,762.88/34,336.96
  6. Step 6: Final answer
    x = 23,778.02

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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.