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Finding the Fourth Proportional to 85,492.69, 117,984.39 and 51,511.84

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Solution

The fourth proportional to 85,492.69, 117,984.39 and 51,511.84 is: 71,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,492.69 : 117,984.39 = 51,511.84 : x
  2. Step 2: Convert to fraction form
    85,492.69/117,984.39 = 51,511.84/x
  3. Step 3: Cross multiply
    85,492.69x = 117,984.39 × 51,511.84
  4. Step 4: Simplify right side
    85,492.69x = 6,077,593,020.18
  5. Step 5: Solve for x
    x = 6,077,593,020.18/85,492.69
  6. Step 6: Final answer
    x = 71,089.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.