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Finding the Fourth Proportional to 82,385.40, 123,578.10 and 51,281.40

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Solution

The fourth proportional to 82,385.40, 123,578.10 and 51,281.40 is: 76,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,385.40 : 123,578.10 = 51,281.40 : x
  2. Step 2: Convert to fraction form
    82,385.40/123,578.10 = 51,281.40/x
  3. Step 3: Cross multiply
    82,385.40x = 123,578.10 × 51,281.40
  4. Step 4: Simplify right side
    82,385.40x = 6,337,257,977.34
  5. Step 5: Solve for x
    x = 6,337,257,977.34/82,385.40
  6. Step 6: Final answer
    x = 76,922.10

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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.