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Finding the Fourth Proportional to 82,386.42, 123,535.32 and 26,211.30

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Solution

The fourth proportional to 82,386.42, 123,535.32 and 26,211.30 is: 39,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,386.42 : 123,535.32 = 26,211.30 : x
  2. Step 2: Convert to fraction form
    82,386.42/123,535.32 = 26,211.30/x
  3. Step 3: Cross multiply
    82,386.42x = 123,535.32 × 26,211.30
  4. Step 4: Simplify right side
    82,386.42x = 3,238,021,333.12
  5. Step 5: Solve for x
    x = 3,238,021,333.12/82,386.42
  6. Step 6: Final answer
    x = 39,302.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.