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Finding the Fourth Proportional to 76,881.45, 106,104.02 and 46,664.40

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Solution

The fourth proportional to 76,881.45, 106,104.02 and 46,664.40 is: 64,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881.45 : 106,104.02 = 46,664.40 : x
  2. Step 2: Convert to fraction form
    76,881.45/106,104.02 = 46,664.40/x
  3. Step 3: Cross multiply
    76,881.45x = 106,104.02 × 46,664.40
  4. Step 4: Simplify right side
    76,881.45x = 4,951,280,197.57
  5. Step 5: Solve for x
    x = 4,951,280,197.57/76,881.45
  6. Step 6: Final answer
    x = 64,401.49

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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.