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Finding the Fourth Proportional to 75,995.84, 114,042.72 and 40,959.92

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Solution

The fourth proportional to 75,995.84, 114,042.72 and 40,959.92 is: 61,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,995.84 : 114,042.72 = 40,959.92 : x
  2. Step 2: Convert to fraction form
    75,995.84/114,042.72 = 40,959.92/x
  3. Step 3: Cross multiply
    75,995.84x = 114,042.72 × 40,959.92
  4. Step 4: Simplify right side
    75,995.84x = 4,671,180,687.78
  5. Step 5: Solve for x
    x = 4,671,180,687.78/75,995.84
  6. Step 6: Final answer
    x = 61,466.27

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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.