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Finding the Fourth Proportional to 82,026, 123,050.88 and 25,847.10

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Solution

The fourth proportional to 82,026, 123,050.88 and 25,847.10 is: 38,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,026 : 123,050.88 = 25,847.10 : x
  2. Step 2: Convert to fraction form
    82,026/123,050.88 = 25,847.10/x
  3. Step 3: Cross multiply
    82,026x = 123,050.88 × 25,847.10
  4. Step 4: Simplify right side
    82,026x = 3,180,508,400.45
  5. Step 5: Solve for x
    x = 3,180,508,400.45/82,026
  6. Step 6: Final answer
    x = 38,774.39

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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.