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Finding the Fourth Proportional to 32,182.34, 44,410.88 and 17,842.10

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Solution

The fourth proportional to 32,182.34, 44,410.88 and 17,842.10 is: 24,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.34 : 44,410.88 = 17,842.10 : x
  2. Step 2: Convert to fraction form
    32,182.34/44,410.88 = 17,842.10/x
  3. Step 3: Cross multiply
    32,182.34x = 44,410.88 × 17,842.10
  4. Step 4: Simplify right side
    32,182.34x = 792,383,050.78
  5. Step 5: Solve for x
    x = 792,383,050.78/32,182.34
  6. Step 6: Final answer
    x = 24,621.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.