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Finding the Fourth Proportional to 25,071.50, 37,601.10 and 11,035.06

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Solution

The fourth proportional to 25,071.50, 37,601.10 and 11,035.06 is: 16,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,071.50 : 37,601.10 = 11,035.06 : x
  2. Step 2: Convert to fraction form
    25,071.50/37,601.10 = 11,035.06/x
  3. Step 3: Cross multiply
    25,071.50x = 37,601.10 × 11,035.06
  4. Step 4: Simplify right side
    25,071.50x = 414,930,394.57
  5. Step 5: Solve for x
    x = 414,930,394.57/25,071.50
  6. Step 6: Final answer
    x = 16,549.88

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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.