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Finding the Fourth Proportional to 82,184.64, 123,289.56 and 34,800

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Solution

The fourth proportional to 82,184.64, 123,289.56 and 34,800 is: 52,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,184.64 : 123,289.56 = 34,800 : x
  2. Step 2: Convert to fraction form
    82,184.64/123,289.56 = 34,800/x
  3. Step 3: Cross multiply
    82,184.64x = 123,289.56 × 34,800
  4. Step 4: Simplify right side
    82,184.64x = 4,290,476,688
  5. Step 5: Solve for x
    x = 4,290,476,688/82,184.64
  6. Step 6: Final answer
    x = 52,205.34

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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.