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Finding the Fourth Proportional to 37,800.26, 56,706.50 and 11,498.81

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Solution

The fourth proportional to 37,800.26, 56,706.50 and 11,498.81 is: 17,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,800.26 : 56,706.50 = 11,498.81 : x
  2. Step 2: Convert to fraction form
    37,800.26/56,706.50 = 11,498.81/x
  3. Step 3: Cross multiply
    37,800.26x = 56,706.50 × 11,498.81
  4. Step 4: Simplify right side
    37,800.26x = 652,057,353.54
  5. Step 5: Solve for x
    x = 652,057,353.54/37,800.26
  6. Step 6: Final answer
    x = 17,250.08

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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.