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Finding the Fourth Proportional to 85,283.60, 127,914.20 and 26,125.20

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Solution

The fourth proportional to 85,283.60, 127,914.20 and 26,125.20 is: 39,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,283.60 : 127,914.20 = 26,125.20 : x
  2. Step 2: Convert to fraction form
    85,283.60/127,914.20 = 26,125.20/x
  3. Step 3: Cross multiply
    85,283.60x = 127,914.20 × 26,125.20
  4. Step 4: Simplify right side
    85,283.60x = 3,341,784,057.84
  5. Step 5: Solve for x
    x = 3,341,784,057.84/85,283.60
  6. Step 6: Final answer
    x = 39,184.37

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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.