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Finding the Fourth Proportional to 42,420.48, 63,631.52 and 12,838.20

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Solution

The fourth proportional to 42,420.48, 63,631.52 and 12,838.20 is: 19,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,420.48 : 63,631.52 = 12,838.20 : x
  2. Step 2: Convert to fraction form
    42,420.48/63,631.52 = 12,838.20/x
  3. Step 3: Cross multiply
    42,420.48x = 63,631.52 × 12,838.20
  4. Step 4: Simplify right side
    42,420.48x = 816,914,180.06
  5. Step 5: Solve for x
    x = 816,914,180.06/42,420.48
  6. Step 6: Final answer
    x = 19,257.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.