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Finding the Fourth Proportional to 42,113.48, 63,149.09 and 14,023.64

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Solution

The fourth proportional to 42,113.48, 63,149.09 and 14,023.64 is: 21,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,113.48 : 63,149.09 = 14,023.64 : x
  2. Step 2: Convert to fraction form
    42,113.48/63,149.09 = 14,023.64/x
  3. Step 3: Cross multiply
    42,113.48x = 63,149.09 × 14,023.64
  4. Step 4: Simplify right side
    42,113.48x = 885,580,104.49
  5. Step 5: Solve for x
    x = 885,580,104.49/42,113.48
  6. Step 6: Final answer
    x = 21,028.42

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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.