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Finding the Fourth Proportional to 76,416.68, 114,475.90 and 50,041.46

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Solution

The fourth proportional to 76,416.68, 114,475.90 and 50,041.46 is: 74,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,416.68 : 114,475.90 = 50,041.46 : x
  2. Step 2: Convert to fraction form
    76,416.68/114,475.90 = 50,041.46/x
  3. Step 3: Cross multiply
    76,416.68x = 114,475.90 × 50,041.46
  4. Step 4: Simplify right side
    76,416.68x = 5,728,541,170.81
  5. Step 5: Solve for x
    x = 5,728,541,170.81/76,416.68
  6. Step 6: Final answer
    x = 74,964.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.