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Finding the Fourth Proportional to 115,953.20, 173,929.80 and 32,847.20

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Solution

The fourth proportional to 115,953.20, 173,929.80 and 32,847.20 is: 49,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,953.20 : 173,929.80 = 32,847.20 : x
  2. Step 2: Convert to fraction form
    115,953.20/173,929.80 = 32,847.20/x
  3. Step 3: Cross multiply
    115,953.20x = 173,929.80 × 32,847.20
  4. Step 4: Simplify right side
    115,953.20x = 5,713,106,926.56
  5. Step 5: Solve for x
    x = 5,713,106,926.56/115,953.20
  6. Step 6: Final answer
    x = 49,270.80

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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.