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Finding the Fourth Proportional to 82,750.50, 114,195.69 and 45,025.02

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Solution

The fourth proportional to 82,750.50, 114,195.69 and 45,025.02 is: 62,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,750.50 : 114,195.69 = 45,025.02 : x
  2. Step 2: Convert to fraction form
    82,750.50/114,195.69 = 45,025.02/x
  3. Step 3: Cross multiply
    82,750.50x = 114,195.69 × 45,025.02
  4. Step 4: Simplify right side
    82,750.50x = 5,141,663,226.16
  5. Step 5: Solve for x
    x = 5,141,663,226.16/82,750.50
  6. Step 6: Final answer
    x = 62,134.53

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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.