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Finding the Fourth Proportional to 34,897.20, 52,273.08 and 27,466.08

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Solution

The fourth proportional to 34,897.20, 52,273.08 and 27,466.08 is: 41,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,897.20 : 52,273.08 = 27,466.08 : x
  2. Step 2: Convert to fraction form
    34,897.20/52,273.08 = 27,466.08/x
  3. Step 3: Cross multiply
    34,897.20x = 52,273.08 × 27,466.08
  4. Step 4: Simplify right side
    34,897.20x = 1,435,736,597.13
  5. Step 5: Solve for x
    x = 1,435,736,597.13/34,897.20
  6. Step 6: Final answer
    x = 41,141.89

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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.