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Finding the Fourth Proportional to 82,928.60, 124,409.10 and 33,000.20

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Solution

The fourth proportional to 82,928.60, 124,409.10 and 33,000.20 is: 49,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,928.60 : 124,409.10 = 33,000.20 : x
  2. Step 2: Convert to fraction form
    82,928.60/124,409.10 = 33,000.20/x
  3. Step 3: Cross multiply
    82,928.60x = 124,409.10 × 33,000.20
  4. Step 4: Simplify right side
    82,928.60x = 4,105,525,181.82
  5. Step 5: Solve for x
    x = 4,105,525,181.82/82,928.60
  6. Step 6: Final answer
    x = 49,506.75

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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.