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Finding the Fourth Proportional to 42,901.50, 64,361.97 and 15,199.50

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Solution

The fourth proportional to 42,901.50, 64,361.97 and 15,199.50 is: 22,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,901.50 : 64,361.97 = 15,199.50 : x
  2. Step 2: Convert to fraction form
    42,901.50/64,361.97 = 15,199.50/x
  3. Step 3: Cross multiply
    42,901.50x = 64,361.97 × 15,199.50
  4. Step 4: Simplify right side
    42,901.50x = 978,269,763.02
  5. Step 5: Solve for x
    x = 978,269,763.02/42,901.50
  6. Step 6: Final answer
    x = 22,802.69

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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.