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Finding the Fourth Proportional to 41,112, 56,742.24 and 23,448

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Solution

The fourth proportional to 41,112, 56,742.24 and 23,448 is: 32,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,112 : 56,742.24 = 23,448 : x
  2. Step 2: Convert to fraction form
    41,112/56,742.24 = 23,448/x
  3. Step 3: Cross multiply
    41,112x = 56,742.24 × 23,448
  4. Step 4: Simplify right side
    41,112x = 1,330,492,043.52
  5. Step 5: Solve for x
    x = 1,330,492,043.52/41,112
  6. Step 6: Final answer
    x = 32,362.62

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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.