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Finding the Fourth Proportional to 82,559.96, 123,823.82 and 26,385

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Solution

The fourth proportional to 82,559.96, 123,823.82 and 26,385 is: 39,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,559.96 : 123,823.82 = 26,385 : x
  2. Step 2: Convert to fraction form
    82,559.96/123,823.82 = 26,385/x
  3. Step 3: Cross multiply
    82,559.96x = 123,823.82 × 26,385
  4. Step 4: Simplify right side
    82,559.96x = 3,267,091,490.70
  5. Step 5: Solve for x
    x = 3,267,091,490.70/82,559.96
  6. Step 6: Final answer
    x = 39,572.35

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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.