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Finding the Fourth Proportional to 49,403, 74,116.56 and 16,124.60

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Solution

The fourth proportional to 49,403, 74,116.56 and 16,124.60 is: 24,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,403 : 74,116.56 = 16,124.60 : x
  2. Step 2: Convert to fraction form
    49,403/74,116.56 = 16,124.60/x
  3. Step 3: Cross multiply
    49,403x = 74,116.56 × 16,124.60
  4. Step 4: Simplify right side
    49,403x = 1,195,099,883.38
  5. Step 5: Solve for x
    x = 1,195,099,883.38/49,403
  6. Step 6: Final answer
    x = 24,190.84

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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.