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Finding the Fourth Proportional to 86,414, 119,251.32 and 46,670

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Solution

The fourth proportional to 86,414, 119,251.32 and 46,670 is: 64,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,414 : 119,251.32 = 46,670 : x
  2. Step 2: Convert to fraction form
    86,414/119,251.32 = 46,670/x
  3. Step 3: Cross multiply
    86,414x = 119,251.32 × 46,670
  4. Step 4: Simplify right side
    86,414x = 5,565,459,104.40
  5. Step 5: Solve for x
    x = 5,565,459,104.40/86,414
  6. Step 6: Final answer
    x = 64,404.60

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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.