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Finding the Fourth Proportional to 78,456.63, 117,618.60 and 34,050

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Solution

The fourth proportional to 78,456.63, 117,618.60 and 34,050 is: 51,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,456.63 : 117,618.60 = 34,050 : x
  2. Step 2: Convert to fraction form
    78,456.63/117,618.60 = 34,050/x
  3. Step 3: Cross multiply
    78,456.63x = 117,618.60 × 34,050
  4. Step 4: Simplify right side
    78,456.63x = 4,004,913,330
  5. Step 5: Solve for x
    x = 4,004,913,330/78,456.63
  6. Step 6: Final answer
    x = 51,046.21

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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.