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Finding the Fourth Proportional to 76,920.42, 106,141.14 and 44,647.59

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Solution

The fourth proportional to 76,920.42, 106,141.14 and 44,647.59 is: 61,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,920.42 : 106,141.14 = 44,647.59 : x
  2. Step 2: Convert to fraction form
    76,920.42/106,141.14 = 44,647.59/x
  3. Step 3: Cross multiply
    76,920.42x = 106,141.14 × 44,647.59
  4. Step 4: Simplify right side
    76,920.42x = 4,738,946,100.85
  5. Step 5: Solve for x
    x = 4,738,946,100.85/76,920.42
  6. Step 6: Final answer
    x = 61,608.43

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1.5x scale

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.