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Finding the Fourth Proportional to 82,352.44, 123,594.27 and 32,445.10

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Solution

The fourth proportional to 82,352.44, 123,594.27 and 32,445.10 is: 48,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,352.44 : 123,594.27 = 32,445.10 : x
  2. Step 2: Convert to fraction form
    82,352.44/123,594.27 = 32,445.10/x
  3. Step 3: Cross multiply
    82,352.44x = 123,594.27 × 32,445.10
  4. Step 4: Simplify right side
    82,352.44x = 4,010,028,449.58
  5. Step 5: Solve for x
    x = 4,010,028,449.58/82,352.44
  6. Step 6: Final answer
    x = 48,693.50

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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.