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Finding the Fourth Proportional to 78,683.17, 118,059.65 and 41,234.34

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Solution

The fourth proportional to 78,683.17, 118,059.65 and 41,234.34 is: 61,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,683.17 : 118,059.65 = 41,234.34 : x
  2. Step 2: Convert to fraction form
    78,683.17/118,059.65 = 41,234.34/x
  3. Step 3: Cross multiply
    78,683.17x = 118,059.65 × 41,234.34
  4. Step 4: Simplify right side
    78,683.17x = 4,868,111,662.55
  5. Step 5: Solve for x
    x = 4,868,111,662.55/78,683.17
  6. Step 6: Final answer
    x = 61,869.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.