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Finding the Fourth Proportional to 35,231.40, 52,802.30 and 14,431.40

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Solution

The fourth proportional to 35,231.40, 52,802.30 and 14,431.40 is: 21,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,231.40 : 52,802.30 = 14,431.40 : x
  2. Step 2: Convert to fraction form
    35,231.40/52,802.30 = 14,431.40/x
  3. Step 3: Cross multiply
    35,231.40x = 52,802.30 × 14,431.40
  4. Step 4: Simplify right side
    35,231.40x = 762,011,112.22
  5. Step 5: Solve for x
    x = 762,011,112.22/35,231.40
  6. Step 6: Final answer
    x = 21,628.75

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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.