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Finding the Fourth Proportional to 82,575.34, 123,895.83 and 26,424.10

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Solution

The fourth proportional to 82,575.34, 123,895.83 and 26,424.10 is: 39,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.34 : 123,895.83 = 26,424.10 : x
  2. Step 2: Convert to fraction form
    82,575.34/123,895.83 = 26,424.10/x
  3. Step 3: Cross multiply
    82,575.34x = 123,895.83 × 26,424.10
  4. Step 4: Simplify right side
    82,575.34x = 3,273,835,801.50
  5. Step 5: Solve for x
    x = 3,273,835,801.50/82,575.34
  6. Step 6: Final answer
    x = 39,646.65

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Why These Related Problems?

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