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Finding the Fourth Proportional to 42,138.96, 63,219.64 and 12,556.88

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Solution

The fourth proportional to 42,138.96, 63,219.64 and 12,556.88 is: 18,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.96 : 63,219.64 = 12,556.88 : x
  2. Step 2: Convert to fraction form
    42,138.96/63,219.64 = 12,556.88/x
  3. Step 3: Cross multiply
    42,138.96x = 63,219.64 × 12,556.88
  4. Step 4: Simplify right side
    42,138.96x = 793,841,433.12
  5. Step 5: Solve for x
    x = 793,841,433.12/42,138.96
  6. Step 6: Final answer
    x = 18,838.66

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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.