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Finding the Fourth Proportional to 41,528, 57,310.22 and 23,624.64

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Solution

The fourth proportional to 41,528, 57,310.22 and 23,624.64 is: 32,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,528 : 57,310.22 = 23,624.64 : x
  2. Step 2: Convert to fraction form
    41,528/57,310.22 = 23,624.64/x
  3. Step 3: Cross multiply
    41,528x = 57,310.22 × 23,624.64
  4. Step 4: Simplify right side
    41,528x = 1,353,933,315.82
  5. Step 5: Solve for x
    x = 1,353,933,315.82/41,528
  6. Step 6: Final answer
    x = 32,602.90

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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.