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Finding the Fourth Proportional to 34,706.40, 52,046.80 and 11,333.60

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Solution

The fourth proportional to 34,706.40, 52,046.80 and 11,333.60 is: 16,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.40 : 52,046.80 = 11,333.60 : x
  2. Step 2: Convert to fraction form
    34,706.40/52,046.80 = 11,333.60/x
  3. Step 3: Cross multiply
    34,706.40x = 52,046.80 × 11,333.60
  4. Step 4: Simplify right side
    34,706.40x = 589,877,612.48
  5. Step 5: Solve for x
    x = 589,877,612.48/34,706.40
  6. Step 6: Final answer
    x = 16,996.22

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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.