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Finding the Fourth Proportional to 75,492, 104,182.20 and 41,958

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Solution

The fourth proportional to 75,492, 104,182.20 and 41,958 is: 57,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,492 : 104,182.20 = 41,958 : x
  2. Step 2: Convert to fraction form
    75,492/104,182.20 = 41,958/x
  3. Step 3: Cross multiply
    75,492x = 104,182.20 × 41,958
  4. Step 4: Simplify right side
    75,492x = 4,371,276,747.60
  5. Step 5: Solve for x
    x = 4,371,276,747.60/75,492
  6. Step 6: Final answer
    x = 57,903.84

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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.