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Finding the Fourth Proportional to 36,071.52, 49,775.46 and 20,153.76

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Solution

The fourth proportional to 36,071.52, 49,775.46 and 20,153.76 is: 27,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,071.52 : 49,775.46 = 20,153.76 : x
  2. Step 2: Convert to fraction form
    36,071.52/49,775.46 = 20,153.76/x
  3. Step 3: Cross multiply
    36,071.52x = 49,775.46 × 20,153.76
  4. Step 4: Simplify right side
    36,071.52x = 1,003,162,674.73
  5. Step 5: Solve for x
    x = 1,003,162,674.73/36,071.52
  6. Step 6: Final answer
    x = 27,810.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.