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Finding the Fourth Proportional to 76,460.10, 114,664.18 and 29,063.78

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Solution

The fourth proportional to 76,460.10, 114,664.18 and 29,063.78 is: 43,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,460.10 : 114,664.18 = 29,063.78 : x
  2. Step 2: Convert to fraction form
    76,460.10/114,664.18 = 29,063.78/x
  3. Step 3: Cross multiply
    76,460.10x = 114,664.18 × 29,063.78
  4. Step 4: Simplify right side
    76,460.10x = 3,332,574,356.08
  5. Step 5: Solve for x
    x = 3,332,574,356.08/76,460.10
  6. Step 6: Final answer
    x = 43,585.80

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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.