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Finding the Fourth Proportional to 76,064.28, 114,096.42 and 74,314.68

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Solution

The fourth proportional to 76,064.28, 114,096.42 and 74,314.68 is: 111,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,064.28 : 114,096.42 = 74,314.68 : x
  2. Step 2: Convert to fraction form
    76,064.28/114,096.42 = 74,314.68/x
  3. Step 3: Cross multiply
    76,064.28x = 114,096.42 × 74,314.68
  4. Step 4: Simplify right side
    76,064.28x = 8,479,038,941.45
  5. Step 5: Solve for x
    x = 8,479,038,941.45/76,064.28
  6. Step 6: Final answer
    x = 111,472.02

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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.