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Finding the Fourth Proportional to 82,633.88, 114,035.64 and 44,908.14

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Solution

The fourth proportional to 82,633.88, 114,035.64 and 44,908.14 is: 61,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,633.88 : 114,035.64 = 44,908.14 : x
  2. Step 2: Convert to fraction form
    82,633.88/114,035.64 = 44,908.14/x
  3. Step 3: Cross multiply
    82,633.88x = 114,035.64 × 44,908.14
  4. Step 4: Simplify right side
    82,633.88x = 5,121,128,486.11
  5. Step 5: Solve for x
    x = 5,121,128,486.11/82,633.88
  6. Step 6: Final answer
    x = 61,973.71

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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.