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Finding the Fourth Proportional to 32,537.14, 48,807.09 and 10,348.21

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Solution

The fourth proportional to 32,537.14, 48,807.09 and 10,348.21 is: 15,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.14 : 48,807.09 = 10,348.21 : x
  2. Step 2: Convert to fraction form
    32,537.14/48,807.09 = 10,348.21/x
  3. Step 3: Cross multiply
    32,537.14x = 48,807.09 × 10,348.21
  4. Step 4: Simplify right side
    32,537.14x = 505,066,016.81
  5. Step 5: Solve for x
    x = 505,066,016.81/32,537.14
  6. Step 6: Final answer
    x = 15,522.75

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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.