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Finding the Fourth Proportional to 76,688.80, 114,964.80 and 29,930.80

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Solution

The fourth proportional to 76,688.80, 114,964.80 and 29,930.80 is: 44,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.80 : 114,964.80 = 29,930.80 : x
  2. Step 2: Convert to fraction form
    76,688.80/114,964.80 = 29,930.80/x
  3. Step 3: Cross multiply
    76,688.80x = 114,964.80 × 29,930.80
  4. Step 4: Simplify right side
    76,688.80x = 3,440,988,435.84
  5. Step 5: Solve for x
    x = 3,440,988,435.84/76,688.80
  6. Step 6: Final answer
    x = 44,869.50

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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.