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Finding the Fourth Proportional to 41,457, 57,170.70 and 27,875.64

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Solution

The fourth proportional to 41,457, 57,170.70 and 27,875.64 is: 38,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,457 : 57,170.70 = 27,875.64 : x
  2. Step 2: Convert to fraction form
    41,457/57,170.70 = 27,875.64/x
  3. Step 3: Cross multiply
    41,457x = 57,170.70 × 27,875.64
  4. Step 4: Simplify right side
    41,457x = 1,593,669,851.75
  5. Step 5: Solve for x
    x = 1,593,669,851.75/41,457
  6. Step 6: Final answer
    x = 38,441.51

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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.