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Finding the Fourth Proportional to 76,888.62, 106,106.31 and 43,354.62

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Solution

The fourth proportional to 76,888.62, 106,106.31 and 43,354.62 is: 59,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,888.62 : 106,106.31 = 43,354.62 : x
  2. Step 2: Convert to fraction form
    76,888.62/106,106.31 = 43,354.62/x
  3. Step 3: Cross multiply
    76,888.62x = 106,106.31 × 43,354.62
  4. Step 4: Simplify right side
    76,888.62x = 4,600,198,749.65
  5. Step 5: Solve for x
    x = 4,600,198,749.65/76,888.62
  6. Step 6: Final answer
    x = 59,829.38

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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.