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Finding the Fourth Proportional to 52,026.84, 71,794.55 and 30,513.65

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Solution

The fourth proportional to 52,026.84, 71,794.55 and 30,513.65 is: 42,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,026.84 : 71,794.55 = 30,513.65 : x
  2. Step 2: Convert to fraction form
    52,026.84/71,794.55 = 30,513.65/x
  3. Step 3: Cross multiply
    52,026.84x = 71,794.55 × 30,513.65
  4. Step 4: Simplify right side
    52,026.84x = 2,190,713,487.92
  5. Step 5: Solve for x
    x = 2,190,713,487.92/52,026.84
  6. Step 6: Final answer
    x = 42,107.37

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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.