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Finding the Fourth Proportional to 52,041.75, 71,817.63 and 29,685.75

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Solution

The fourth proportional to 52,041.75, 71,817.63 and 29,685.75 is: 40,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,041.75 : 71,817.63 = 29,685.75 : x
  2. Step 2: Convert to fraction form
    52,041.75/71,817.63 = 29,685.75/x
  3. Step 3: Cross multiply
    52,041.75x = 71,817.63 × 29,685.75
  4. Step 4: Simplify right side
    52,041.75x = 2,131,960,209.77
  5. Step 5: Solve for x
    x = 2,131,960,209.77/52,041.75
  6. Step 6: Final answer
    x = 40,966.34

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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.