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Finding the Fourth Proportional to 38,448.10, 57,673.88 and 11,792.14

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Solution

The fourth proportional to 38,448.10, 57,673.88 and 11,792.14 is: 17,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448.10 : 57,673.88 = 11,792.14 : x
  2. Step 2: Convert to fraction form
    38,448.10/57,673.88 = 11,792.14/x
  3. Step 3: Cross multiply
    38,448.10x = 57,673.88 × 11,792.14
  4. Step 4: Simplify right side
    38,448.10x = 680,098,467.30
  5. Step 5: Solve for x
    x = 680,098,467.30/38,448.10
  6. Step 6: Final answer
    x = 17,688.74

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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.