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Finding the Fourth Proportional to 41,411, 57,144.24 and 23,506.36

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Solution

The fourth proportional to 41,411, 57,144.24 and 23,506.36 is: 32,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,411 : 57,144.24 = 23,506.36 : x
  2. Step 2: Convert to fraction form
    41,411/57,144.24 = 23,506.36/x
  3. Step 3: Cross multiply
    41,411x = 57,144.24 × 23,506.36
  4. Step 4: Simplify right side
    41,411x = 1,343,253,077.37
  5. Step 5: Solve for x
    x = 1,343,253,077.37/41,411
  6. Step 6: Final answer
    x = 32,437.11

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1.5x scale

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.