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Finding the Fourth Proportional to 34,988.84, 52,471.89 and 11,609

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Solution

The fourth proportional to 34,988.84, 52,471.89 and 11,609 is: 17,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,988.84 : 52,471.89 = 11,609 : x
  2. Step 2: Convert to fraction form
    34,988.84/52,471.89 = 11,609/x
  3. Step 3: Cross multiply
    34,988.84x = 52,471.89 × 11,609
  4. Step 4: Simplify right side
    34,988.84x = 609,146,171.01
  5. Step 5: Solve for x
    x = 609,146,171.01/34,988.84
  6. Step 6: Final answer
    x = 17,409.73

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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.