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Finding the Fourth Proportional to 32,011.56, 44,176.08 and 17,865

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Solution

The fourth proportional to 32,011.56, 44,176.08 and 17,865 is: 24,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.56 : 44,176.08 = 17,865 : x
  2. Step 2: Convert to fraction form
    32,011.56/44,176.08 = 17,865/x
  3. Step 3: Cross multiply
    32,011.56x = 44,176.08 × 17,865
  4. Step 4: Simplify right side
    32,011.56x = 789,205,669.20
  5. Step 5: Solve for x
    x = 789,205,669.20/32,011.56
  6. Step 6: Final answer
    x = 24,653.77

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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.