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Finding the Fourth Proportional to 82,887.38, 114,384.58 and 45,161.63

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Solution

The fourth proportional to 82,887.38, 114,384.58 and 45,161.63 is: 62,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,887.38 : 114,384.58 = 45,161.63 : x
  2. Step 2: Convert to fraction form
    82,887.38/114,384.58 = 45,161.63/x
  3. Step 3: Cross multiply
    82,887.38x = 114,384.58 × 45,161.63
  4. Step 4: Simplify right side
    82,887.38x = 5,165,793,507.74
  5. Step 5: Solve for x
    x = 5,165,793,507.74/82,887.38
  6. Step 6: Final answer
    x = 62,323.04

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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.