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Finding the Fourth Proportional to 76,622.34, 114,836.18 and 34,457.39

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Solution

The fourth proportional to 76,622.34, 114,836.18 and 34,457.39 is: 51,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,622.34 : 114,836.18 = 34,457.39 : x
  2. Step 2: Convert to fraction form
    76,622.34/114,836.18 = 34,457.39/x
  3. Step 3: Cross multiply
    76,622.34x = 114,836.18 × 34,457.39
  4. Step 4: Simplify right side
    76,622.34x = 3,956,954,293.90
  5. Step 5: Solve for x
    x = 3,956,954,293.90/76,622.34
  6. Step 6: Final answer
    x = 51,642.31

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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.