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Finding the Fourth Proportional to 86,414.78, 119,252.34 and 46,670.78

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Solution

The fourth proportional to 86,414.78, 119,252.34 and 46,670.78 is: 64,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,414.78 : 119,252.34 = 46,670.78 : x
  2. Step 2: Convert to fraction form
    86,414.78/119,252.34 = 46,670.78/x
  3. Step 3: Cross multiply
    86,414.78x = 119,252.34 × 46,670.78
  4. Step 4: Simplify right side
    86,414.78x = 5,565,599,724.63
  5. Step 5: Solve for x
    x = 5,565,599,724.63/86,414.78
  6. Step 6: Final answer
    x = 64,405.65

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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.