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Finding the Fourth Proportional to 76,096.92, 105,114.09 and 58,410.48

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Solution

The fourth proportional to 76,096.92, 105,114.09 and 58,410.48 is: 80,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096.92 : 105,114.09 = 58,410.48 : x
  2. Step 2: Convert to fraction form
    76,096.92/105,114.09 = 58,410.48/x
  3. Step 3: Cross multiply
    76,096.92x = 105,114.09 × 58,410.48
  4. Step 4: Simplify right side
    76,096.92x = 6,139,764,451.66
  5. Step 5: Solve for x
    x = 6,139,764,451.66/76,096.92
  6. Step 6: Final answer
    x = 80,683.48

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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.