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Finding the Fourth Proportional to 76,992.60, 106,282.20 and 46,787.64

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Solution

The fourth proportional to 76,992.60, 106,282.20 and 46,787.64 is: 64,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992.60 : 106,282.20 = 46,787.64 : x
  2. Step 2: Convert to fraction form
    76,992.60/106,282.20 = 46,787.64/x
  3. Step 3: Cross multiply
    76,992.60x = 106,282.20 × 46,787.64
  4. Step 4: Simplify right side
    76,992.60x = 4,972,693,312.01
  5. Step 5: Solve for x
    x = 4,972,693,312.01/76,992.60
  6. Step 6: Final answer
    x = 64,586.64

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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.