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Finding the Fourth Proportional to 32,984, 45,580.04 and 25,011.44

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Solution

The fourth proportional to 32,984, 45,580.04 and 25,011.44 is: 34,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 45,580.04 = 25,011.44 : x
  2. Step 2: Convert to fraction form
    32,984/45,580.04 = 25,011.44/x
  3. Step 3: Cross multiply
    32,984x = 45,580.04 × 25,011.44
  4. Step 4: Simplify right side
    32,984x = 1,140,022,435.66
  5. Step 5: Solve for x
    x = 1,140,022,435.66/32,984
  6. Step 6: Final answer
    x = 34,562.89

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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.