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Finding the Fourth Proportional to 32,527.12, 48,797.57 and 11,466.31

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Solution

The fourth proportional to 32,527.12, 48,797.57 and 11,466.31 is: 17,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527.12 : 48,797.57 = 11,466.31 : x
  2. Step 2: Convert to fraction form
    32,527.12/48,797.57 = 11,466.31/x
  3. Step 3: Cross multiply
    32,527.12x = 48,797.57 × 11,466.31
  4. Step 4: Simplify right side
    32,527.12x = 559,528,064.87
  5. Step 5: Solve for x
    x = 559,528,064.87/32,527.12
  6. Step 6: Final answer
    x = 17,201.89

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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.