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Finding the Fourth Proportional to 42,433.60, 63,634.20 and 12,841.60

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Solution

The fourth proportional to 42,433.60, 63,634.20 and 12,841.60 is: 19,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,433.60 : 63,634.20 = 12,841.60 : x
  2. Step 2: Convert to fraction form
    42,433.60/63,634.20 = 12,841.60/x
  3. Step 3: Cross multiply
    42,433.60x = 63,634.20 × 12,841.60
  4. Step 4: Simplify right side
    42,433.60x = 817,164,942.72
  5. Step 5: Solve for x
    x = 817,164,942.72/42,433.60
  6. Step 6: Final answer
    x = 19,257.50

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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.