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Finding the Fourth Proportional to 41,506, 57,278.28 and 22,643.20

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Solution

The fourth proportional to 41,506, 57,278.28 and 22,643.20 is: 31,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,506 : 57,278.28 = 22,643.20 : x
  2. Step 2: Convert to fraction form
    41,506/57,278.28 = 22,643.20/x
  3. Step 3: Cross multiply
    41,506x = 57,278.28 × 22,643.20
  4. Step 4: Simplify right side
    41,506x = 1,296,963,549.70
  5. Step 5: Solve for x
    x = 1,296,963,549.70/41,506
  6. Step 6: Final answer
    x = 31,247.62

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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.