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Finding the Fourth Proportional to 82,136, 113,347.68 and 44,410.28

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Solution

The fourth proportional to 82,136, 113,347.68 and 44,410.28 is: 61,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136 : 113,347.68 = 44,410.28 : x
  2. Step 2: Convert to fraction form
    82,136/113,347.68 = 44,410.28/x
  3. Step 3: Cross multiply
    82,136x = 113,347.68 × 44,410.28
  4. Step 4: Simplify right side
    82,136x = 5,033,802,206.15
  5. Step 5: Solve for x
    x = 5,033,802,206.15/82,136
  6. Step 6: Final answer
    x = 61,286.19

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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.