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Finding the Fourth Proportional to 42,481.60, 63,720.74 and 12,898.24

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Solution

The fourth proportional to 42,481.60, 63,720.74 and 12,898.24 is: 19,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,481.60 : 63,720.74 = 12,898.24 : x
  2. Step 2: Convert to fraction form
    42,481.60/63,720.74 = 12,898.24/x
  3. Step 3: Cross multiply
    42,481.60x = 63,720.74 × 12,898.24
  4. Step 4: Simplify right side
    42,481.60x = 821,885,397.50
  5. Step 5: Solve for x
    x = 821,885,397.50/42,481.60
  6. Step 6: Final answer
    x = 19,346.86

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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.