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Finding the Fourth Proportional to 116,246, 174,370.62 and 33,140

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Solution

The fourth proportional to 116,246, 174,370.62 and 33,140 is: 49,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,246 : 174,370.62 = 33,140 : x
  2. Step 2: Convert to fraction form
    116,246/174,370.62 = 33,140/x
  3. Step 3: Cross multiply
    116,246x = 174,370.62 × 33,140
  4. Step 4: Simplify right side
    116,246x = 5,778,642,346.80
  5. Step 5: Solve for x
    x = 5,778,642,346.80/116,246
  6. Step 6: Final answer
    x = 49,710.46

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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.