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Finding the Fourth Proportional to 38,578.65, 57,872.25 and 12,277.28

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Solution

The fourth proportional to 38,578.65, 57,872.25 and 12,277.28 is: 18,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.65 : 57,872.25 = 12,277.28 : x
  2. Step 2: Convert to fraction form
    38,578.65/57,872.25 = 12,277.28/x
  3. Step 3: Cross multiply
    38,578.65x = 57,872.25 × 12,277.28
  4. Step 4: Simplify right side
    38,578.65x = 710,513,528.12
  5. Step 5: Solve for x
    x = 710,513,528.12/38,578.65
  6. Step 6: Final answer
    x = 18,417.27

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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.