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Finding the Fourth Proportional to 42,001.34, 63,015.38 and 12,419.34

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Solution

The fourth proportional to 42,001.34, 63,015.38 and 12,419.34 is: 18,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001.34 : 63,015.38 = 12,419.34 : x
  2. Step 2: Convert to fraction form
    42,001.34/63,015.38 = 12,419.34/x
  3. Step 3: Cross multiply
    42,001.34x = 63,015.38 × 12,419.34
  4. Step 4: Simplify right side
    42,001.34x = 782,609,429.45
  5. Step 5: Solve for x
    x = 782,609,429.45/42,001.34
  6. Step 6: Final answer
    x = 18,632.96

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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.