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Finding the Fourth Proportional to 42,361.41, 63,542.57 and 12,779.50

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Solution

The fourth proportional to 42,361.41, 63,542.57 and 12,779.50 is: 19,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,361.41 : 63,542.57 = 12,779.50 : x
  2. Step 2: Convert to fraction form
    42,361.41/63,542.57 = 12,779.50/x
  3. Step 3: Cross multiply
    42,361.41x = 63,542.57 × 12,779.50
  4. Step 4: Simplify right side
    42,361.41x = 812,042,464.12
  5. Step 5: Solve for x
    x = 812,042,464.12/42,361.41
  6. Step 6: Final answer
    x = 19,169.39

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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.