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Finding the Fourth Proportional to 38,154.93, 57,242.12 and 11,859.90

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Solution

The fourth proportional to 38,154.93, 57,242.12 and 11,859.90 is: 17,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.93 : 57,242.12 = 11,859.90 : x
  2. Step 2: Convert to fraction form
    38,154.93/57,242.12 = 11,859.90/x
  3. Step 3: Cross multiply
    38,154.93x = 57,242.12 × 11,859.90
  4. Step 4: Simplify right side
    38,154.93x = 678,885,818.99
  5. Step 5: Solve for x
    x = 678,885,818.99/38,154.93
  6. Step 6: Final answer
    x = 17,792.87

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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.