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Finding the Fourth Proportional to 34,805.79, 52,202.01 and 9,839.81

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Solution

The fourth proportional to 34,805.79, 52,202.01 and 9,839.81 is: 14,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,805.79 : 52,202.01 = 9,839.81 : x
  2. Step 2: Convert to fraction form
    34,805.79/52,202.01 = 9,839.81/x
  3. Step 3: Cross multiply
    34,805.79x = 52,202.01 × 9,839.81
  4. Step 4: Simplify right side
    34,805.79x = 513,657,599.01
  5. Step 5: Solve for x
    x = 513,657,599.01/34,805.79
  6. Step 6: Final answer
    x = 14,757.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.