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Finding the Fourth Proportional to 116,105.50, 174,161.58 and 31,866.35

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Solution

The fourth proportional to 116,105.50, 174,161.58 and 31,866.35 is: 47,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,105.50 : 174,161.58 = 31,866.35 : x
  2. Step 2: Convert to fraction form
    116,105.50/174,161.58 = 31,866.35/x
  3. Step 3: Cross multiply
    116,105.50x = 174,161.58 × 31,866.35
  4. Step 4: Simplify right side
    116,105.50x = 5,549,893,864.83
  5. Step 5: Solve for x
    x = 5,549,893,864.83/116,105.50
  6. Step 6: Final answer
    x = 47,800.44

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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.