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Finding the Fourth Proportional to 76,017, 104,906.70 and 42,483

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Solution

The fourth proportional to 76,017, 104,906.70 and 42,483 is: 58,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,017 : 104,906.70 = 42,483 : x
  2. Step 2: Convert to fraction form
    76,017/104,906.70 = 42,483/x
  3. Step 3: Cross multiply
    76,017x = 104,906.70 × 42,483
  4. Step 4: Simplify right side
    76,017x = 4,456,751,336.10
  5. Step 5: Solve for x
    x = 4,456,751,336.10/76,017
  6. Step 6: Final answer
    x = 58,628.35

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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.