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Finding the Fourth Proportional to 41,454, 57,180.96 and 25,313.76

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Solution

The fourth proportional to 41,454, 57,180.96 and 25,313.76 is: 34,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454 : 57,180.96 = 25,313.76 : x
  2. Step 2: Convert to fraction form
    41,454/57,180.96 = 25,313.76/x
  3. Step 3: Cross multiply
    41,454x = 57,180.96 × 25,313.76
  4. Step 4: Simplify right side
    41,454x = 1,447,465,098.01
  5. Step 5: Solve for x
    x = 1,447,465,098.01/41,454
  6. Step 6: Final answer
    x = 34,917.38

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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.