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Finding the Fourth Proportional to 76,596, 105,696 and 43,059.84

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Solution

The fourth proportional to 76,596, 105,696 and 43,059.84 is: 59,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596 : 105,696 = 43,059.84 : x
  2. Step 2: Convert to fraction form
    76,596/105,696 = 43,059.84/x
  3. Step 3: Cross multiply
    76,596x = 105,696 × 43,059.84
  4. Step 4: Simplify right side
    76,596x = 4,551,252,848.64
  5. Step 5: Solve for x
    x = 4,551,252,848.64/76,596
  6. Step 6: Final answer
    x = 59,418.94

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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.