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Finding the Fourth Proportional to 35,914.32, 49,561.20 and 20,000.16

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Solution

The fourth proportional to 35,914.32, 49,561.20 and 20,000.16 is: 27,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,914.32 : 49,561.20 = 20,000.16 : x
  2. Step 2: Convert to fraction form
    35,914.32/49,561.20 = 20,000.16/x
  3. Step 3: Cross multiply
    35,914.32x = 49,561.20 × 20,000.16
  4. Step 4: Simplify right side
    35,914.32x = 991,231,929.79
  5. Step 5: Solve for x
    x = 991,231,929.79/35,914.32
  6. Step 6: Final answer
    x = 27,599.91

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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.