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Finding the Fourth Proportional to 76,258, 105,236.04 and 46,450

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Solution

The fourth proportional to 76,258, 105,236.04 and 46,450 is: 64,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,258 : 105,236.04 = 46,450 : x
  2. Step 2: Convert to fraction form
    76,258/105,236.04 = 46,450/x
  3. Step 3: Cross multiply
    76,258x = 105,236.04 × 46,450
  4. Step 4: Simplify right side
    76,258x = 4,888,214,058
  5. Step 5: Solve for x
    x = 4,888,214,058/76,258
  6. Step 6: Final answer
    x = 64,101

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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.