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Finding the Fourth Proportional to 82,215.60, 123,323.40 and 47,223.60

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Solution

The fourth proportional to 82,215.60, 123,323.40 and 47,223.60 is: 70,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215.60 : 123,323.40 = 47,223.60 : x
  2. Step 2: Convert to fraction form
    82,215.60/123,323.40 = 47,223.60/x
  3. Step 3: Cross multiply
    82,215.60x = 123,323.40 × 47,223.60
  4. Step 4: Simplify right side
    82,215.60x = 5,823,774,912.24
  5. Step 5: Solve for x
    x = 5,823,774,912.24/82,215.60
  6. Step 6: Final answer
    x = 70,835.40

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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.