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Finding the Fourth Proportional to 82,187.76, 113,419.13 and 44,462.01

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Solution

The fourth proportional to 82,187.76, 113,419.13 and 44,462.01 is: 61,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,187.76 : 113,419.13 = 44,462.01 : x
  2. Step 2: Convert to fraction form
    82,187.76/113,419.13 = 44,462.01/x
  3. Step 3: Cross multiply
    82,187.76x = 113,419.13 × 44,462.01
  4. Step 4: Simplify right side
    82,187.76x = 5,042,842,269.94
  5. Step 5: Solve for x
    x = 5,042,842,269.94/82,187.76
  6. Step 6: Final answer
    x = 61,357.58

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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.