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Finding the Fourth Proportional to 49,638.60, 74,467.13 and 20,077.17

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Solution

The fourth proportional to 49,638.60, 74,467.13 and 20,077.17 is: 30,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,638.60 : 74,467.13 = 20,077.17 : x
  2. Step 2: Convert to fraction form
    49,638.60/74,467.13 = 20,077.17/x
  3. Step 3: Cross multiply
    49,638.60x = 74,467.13 × 20,077.17
  4. Step 4: Simplify right side
    49,638.60x = 1,495,089,228.42
  5. Step 5: Solve for x
    x = 1,495,089,228.42/49,638.60
  6. Step 6: Final answer
    x = 30,119.49

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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.