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Finding the Fourth Proportional to 78,414.98, 108,200.49 and 46,583.06

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Solution

The fourth proportional to 78,414.98, 108,200.49 and 46,583.06 is: 64,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414.98 : 108,200.49 = 46,583.06 : x
  2. Step 2: Convert to fraction form
    78,414.98/108,200.49 = 46,583.06/x
  3. Step 3: Cross multiply
    78,414.98x = 108,200.49 × 46,583.06
  4. Step 4: Simplify right side
    78,414.98x = 5,040,309,917.70
  5. Step 5: Solve for x
    x = 5,040,309,917.70/78,414.98
  6. Step 6: Final answer
    x = 64,277.39

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1.5x scale

Why These Related Problems?

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