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Finding the Fourth Proportional to 42,820.92, 64,237.54 and 13,241.06

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Solution

The fourth proportional to 42,820.92, 64,237.54 and 13,241.06 is: 19,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,820.92 : 64,237.54 = 13,241.06 : x
  2. Step 2: Convert to fraction form
    42,820.92/64,237.54 = 13,241.06/x
  3. Step 3: Cross multiply
    42,820.92x = 64,237.54 × 13,241.06
  4. Step 4: Simplify right side
    42,820.92x = 850,573,121.39
  5. Step 5: Solve for x
    x = 850,573,121.39/42,820.92
  6. Step 6: Final answer
    x = 19,863.49

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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.