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Finding the Fourth Proportional to 32,561.84, 48,850.13 and 10,376.48

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Solution

The fourth proportional to 32,561.84, 48,850.13 and 10,376.48 is: 15,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,561.84 : 48,850.13 = 10,376.48 : x
  2. Step 2: Convert to fraction form
    32,561.84/48,850.13 = 10,376.48/x
  3. Step 3: Cross multiply
    32,561.84x = 48,850.13 × 10,376.48
  4. Step 4: Simplify right side
    32,561.84x = 506,892,396.94
  5. Step 5: Solve for x
    x = 506,892,396.94/32,561.84
  6. Step 6: Final answer
    x = 15,567.07

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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.