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Finding the Fourth Proportional to 124,652, 186,978 and 37,100

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Solution

The fourth proportional to 124,652, 186,978 and 37,100 is: 55,650

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,652 : 186,978 = 37,100 : x
  2. Step 2: Convert to fraction form
    124,652/186,978 = 37,100/x
  3. Step 3: Cross multiply
    124,652x = 186,978 × 37,100
  4. Step 4: Simplify right side
    124,652x = 6,936,883,800
  5. Step 5: Solve for x
    x = 6,936,883,800/124,652
  6. Step 6: Final answer
    x = 55,650

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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.