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Finding the Fourth Proportional to 76,962, 106,210.12 and 44,694.16

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Solution

The fourth proportional to 76,962, 106,210.12 and 44,694.16 is: 61,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,962 : 106,210.12 = 44,694.16 : x
  2. Step 2: Convert to fraction form
    76,962/106,210.12 = 44,694.16/x
  3. Step 3: Cross multiply
    76,962x = 106,210.12 × 44,694.16
  4. Step 4: Simplify right side
    76,962x = 4,746,972,096.90
  5. Step 5: Solve for x
    x = 4,746,972,096.90/76,962
  6. Step 6: Final answer
    x = 61,679.43

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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.