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Finding the Fourth Proportional to 116,260, 174,391.64 and 33,154

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Solution

The fourth proportional to 116,260, 174,391.64 and 33,154 is: 49,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,260 : 174,391.64 = 33,154 : x
  2. Step 2: Convert to fraction form
    116,260/174,391.64 = 33,154/x
  3. Step 3: Cross multiply
    116,260x = 174,391.64 × 33,154
  4. Step 4: Simplify right side
    116,260x = 5,781,780,432.56
  5. Step 5: Solve for x
    x = 5,781,780,432.56/116,260
  6. Step 6: Final answer
    x = 49,731.47

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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.