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Finding the Fourth Proportional to 82,750.28, 114,193.14 and 45,023.72

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Solution

The fourth proportional to 82,750.28, 114,193.14 and 45,023.72 is: 62,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,750.28 : 114,193.14 = 45,023.72 : x
  2. Step 2: Convert to fraction form
    82,750.28/114,193.14 = 45,023.72/x
  3. Step 3: Cross multiply
    82,750.28x = 114,193.14 × 45,023.72
  4. Step 4: Simplify right side
    82,750.28x = 5,141,399,961.28
  5. Step 5: Solve for x
    x = 5,141,399,961.28/82,750.28
  6. Step 6: Final answer
    x = 62,131.51

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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.