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Finding the Fourth Proportional to 76,904.49, 106,095.47 and 48,204.56

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Solution

The fourth proportional to 76,904.49, 106,095.47 and 48,204.56 is: 66,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,904.49 : 106,095.47 = 48,204.56 : x
  2. Step 2: Convert to fraction form
    76,904.49/106,095.47 = 48,204.56/x
  3. Step 3: Cross multiply
    76,904.49x = 106,095.47 × 48,204.56
  4. Step 4: Simplify right side
    76,904.49x = 5,114,284,998.73
  5. Step 5: Solve for x
    x = 5,114,284,998.73/76,904.49
  6. Step 6: Final answer
    x = 66,501.78

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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.