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Finding the Fourth Proportional to 34,971.84, 52,446.40 and 11,592

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Solution

The fourth proportional to 34,971.84, 52,446.40 and 11,592 is: 17,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971.84 : 52,446.40 = 11,592 : x
  2. Step 2: Convert to fraction form
    34,971.84/52,446.40 = 11,592/x
  3. Step 3: Cross multiply
    34,971.84x = 52,446.40 × 11,592
  4. Step 4: Simplify right side
    34,971.84x = 607,958,668.80
  5. Step 5: Solve for x
    x = 607,958,668.80/34,971.84
  6. Step 6: Final answer
    x = 17,384.23

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