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Finding the Fourth Proportional to 82,828.60, 124,242.90 and 27,424.60

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Solution

The fourth proportional to 82,828.60, 124,242.90 and 27,424.60 is: 41,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,828.60 : 124,242.90 = 27,424.60 : x
  2. Step 2: Convert to fraction form
    82,828.60/124,242.90 = 27,424.60/x
  3. Step 3: Cross multiply
    82,828.60x = 124,242.90 × 27,424.60
  4. Step 4: Simplify right side
    82,828.60x = 3,407,311,835.34
  5. Step 5: Solve for x
    x = 3,407,311,835.34/82,828.60
  6. Step 6: Final answer
    x = 41,136.90

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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.