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Finding the Fourth Proportional to 76,864.60, 106,057 and 46,665.84

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Solution

The fourth proportional to 76,864.60, 106,057 and 46,665.84 is: 64,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,864.60 : 106,057 = 46,665.84 : x
  2. Step 2: Convert to fraction form
    76,864.60/106,057 = 46,665.84/x
  3. Step 3: Cross multiply
    76,864.60x = 106,057 × 46,665.84
  4. Step 4: Simplify right side
    76,864.60x = 4,949,238,992.88
  5. Step 5: Solve for x
    x = 4,949,238,992.88/76,864.60
  6. Step 6: Final answer
    x = 64,389.06

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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.