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Finding the Fourth Proportional to 81,872.40, 122,808.60 and 26,468.40

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Solution

The fourth proportional to 81,872.40, 122,808.60 and 26,468.40 is: 39,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872.40 : 122,808.60 = 26,468.40 : x
  2. Step 2: Convert to fraction form
    81,872.40/122,808.60 = 26,468.40/x
  3. Step 3: Cross multiply
    81,872.40x = 122,808.60 × 26,468.40
  4. Step 4: Simplify right side
    81,872.40x = 3,250,547,148.24
  5. Step 5: Solve for x
    x = 3,250,547,148.24/81,872.40
  6. Step 6: Final answer
    x = 39,702.60

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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.