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Finding the Fourth Proportional to 34,840.84, 52,250.22 and 11,461.84

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Solution

The fourth proportional to 34,840.84, 52,250.22 and 11,461.84 is: 17,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,840.84 : 52,250.22 = 11,461.84 : x
  2. Step 2: Convert to fraction form
    34,840.84/52,250.22 = 11,461.84/x
  3. Step 3: Cross multiply
    34,840.84x = 52,250.22 × 11,461.84
  4. Step 4: Simplify right side
    34,840.84x = 598,883,661.60
  5. Step 5: Solve for x
    x = 598,883,661.60/34,840.84
  6. Step 6: Final answer
    x = 17,189.13

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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.