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Finding the Fourth Proportional to 82,107.05, 113,307.71 and 44,381.30

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Solution

The fourth proportional to 82,107.05, 113,307.71 and 44,381.30 is: 61,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.05 : 113,307.71 = 44,381.30 : x
  2. Step 2: Convert to fraction form
    82,107.05/113,307.71 = 44,381.30/x
  3. Step 3: Cross multiply
    82,107.05x = 113,307.71 × 44,381.30
  4. Step 4: Simplify right side
    82,107.05x = 5,028,742,681.38
  5. Step 5: Solve for x
    x = 5,028,742,681.38/82,107.05
  6. Step 6: Final answer
    x = 61,246.18

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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.