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Finding the Fourth Proportional to 38,115.29, 57,225.29 and 19,407.89

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Solution

The fourth proportional to 38,115.29, 57,225.29 and 19,407.89 is: 29,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115.29 : 57,225.29 = 19,407.89 : x
  2. Step 2: Convert to fraction form
    38,115.29/57,225.29 = 19,407.89/x
  3. Step 3: Cross multiply
    38,115.29x = 57,225.29 × 19,407.89
  4. Step 4: Simplify right side
    38,115.29x = 1,110,621,847.41
  5. Step 5: Solve for x
    x = 1,110,621,847.41/38,115.29
  6. Step 6: Final answer
    x = 29,138.49

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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.