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Finding the Fourth Proportional to 82,521.72, 123,823.49 and 32,637.60

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Solution

The fourth proportional to 82,521.72, 123,823.49 and 32,637.60 is: 48,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,521.72 : 123,823.49 = 32,637.60 : x
  2. Step 2: Convert to fraction form
    82,521.72/123,823.49 = 32,637.60/x
  3. Step 3: Cross multiply
    82,521.72x = 123,823.49 × 32,637.60
  4. Step 4: Simplify right side
    82,521.72x = 4,041,301,374.04
  5. Step 5: Solve for x
    x = 4,041,301,374.04/82,521.72
  6. Step 6: Final answer
    x = 48,972.58

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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.