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Finding the Fourth Proportional to 90,466.50, 124,842.90 and 50,180.34

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Solution

The fourth proportional to 90,466.50, 124,842.90 and 50,180.34 is: 69,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,466.50 : 124,842.90 = 50,180.34 : x
  2. Step 2: Convert to fraction form
    90,466.50/124,842.90 = 50,180.34/x
  3. Step 3: Cross multiply
    90,466.50x = 124,842.90 × 50,180.34
  4. Step 4: Simplify right side
    90,466.50x = 6,264,659,168.59
  5. Step 5: Solve for x
    x = 6,264,659,168.59/90,466.50
  6. Step 6: Final answer
    x = 69,248.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.