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Finding the Fourth Proportional to 52,107.90, 71,905.50 and 33,243

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Solution

The fourth proportional to 52,107.90, 71,905.50 and 33,243 is: 45,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.90 : 71,905.50 = 33,243 : x
  2. Step 2: Convert to fraction form
    52,107.90/71,905.50 = 33,243/x
  3. Step 3: Cross multiply
    52,107.90x = 71,905.50 × 33,243
  4. Step 4: Simplify right side
    52,107.90x = 2,390,354,536.50
  5. Step 5: Solve for x
    x = 2,390,354,536.50/52,107.90
  6. Step 6: Final answer
    x = 45,873.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.