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Finding the Fourth Proportional to 41,459, 57,214.97 and 23,557.04

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Solution

The fourth proportional to 41,459, 57,214.97 and 23,557.04 is: 32,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,459 : 57,214.97 = 23,557.04 : x
  2. Step 2: Convert to fraction form
    41,459/57,214.97 = 23,557.04/x
  3. Step 3: Cross multiply
    41,459x = 57,214.97 × 23,557.04
  4. Step 4: Simplify right side
    41,459x = 1,347,815,336.89
  5. Step 5: Solve for x
    x = 1,347,815,336.89/41,459
  6. Step 6: Final answer
    x = 32,509.60

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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.