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Finding the Fourth Proportional to 32,217.54, 44,457.93 and 17,878.14

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Solution

The fourth proportional to 32,217.54, 44,457.93 and 17,878.14 is: 24,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,217.54 : 44,457.93 = 17,878.14 : x
  2. Step 2: Convert to fraction form
    32,217.54/44,457.93 = 17,878.14/x
  3. Step 3: Cross multiply
    32,217.54x = 44,457.93 × 17,878.14
  4. Step 4: Simplify right side
    32,217.54x = 794,825,096.65
  5. Step 5: Solve for x
    x = 794,825,096.65/32,217.54
  6. Step 6: Final answer
    x = 24,670.57

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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.