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Finding the Fourth Proportional to 42,410.40, 63,615.60 and 12,832.80

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Solution

The fourth proportional to 42,410.40, 63,615.60 and 12,832.80 is: 19,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,410.40 : 63,615.60 = 12,832.80 : x
  2. Step 2: Convert to fraction form
    42,410.40/63,615.60 = 12,832.80/x
  3. Step 3: Cross multiply
    42,410.40x = 63,615.60 × 12,832.80
  4. Step 4: Simplify right side
    42,410.40x = 816,366,271.68
  5. Step 5: Solve for x
    x = 816,366,271.68/42,410.40
  6. Step 6: Final answer
    x = 19,249.20

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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.