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Finding the Fourth Proportional to 76,735.96, 105,871.26 and 43,195.48

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Solution

The fourth proportional to 76,735.96, 105,871.26 and 43,195.48 is: 59,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,735.96 : 105,871.26 = 43,195.48 : x
  2. Step 2: Convert to fraction form
    76,735.96/105,871.26 = 43,195.48/x
  3. Step 3: Cross multiply
    76,735.96x = 105,871.26 × 43,195.48
  4. Step 4: Simplify right side
    76,735.96x = 4,573,159,893.90
  5. Step 5: Solve for x
    x = 4,573,159,893.90/76,735.96
  6. Step 6: Final answer
    x = 59,596.05

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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.