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Finding the Fourth Proportional to 102,959.94, 154,451.43 and 32,822.98

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Solution

The fourth proportional to 102,959.94, 154,451.43 and 32,822.98 is: 49,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.94 : 154,451.43 = 32,822.98 : x
  2. Step 2: Convert to fraction form
    102,959.94/154,451.43 = 32,822.98/x
  3. Step 3: Cross multiply
    102,959.94x = 154,451.43 × 32,822.98
  4. Step 4: Simplify right side
    102,959.94x = 5,069,556,197.86
  5. Step 5: Solve for x
    x = 5,069,556,197.86/102,959.94
  6. Step 6: Final answer
    x = 49,238.14

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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.