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Finding the Fourth Proportional to 35,762.28, 49,354.27 and 19,846.74

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Solution

The fourth proportional to 35,762.28, 49,354.27 and 19,846.74 is: 27,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.28 : 49,354.27 = 19,846.74 : x
  2. Step 2: Convert to fraction form
    35,762.28/49,354.27 = 19,846.74/x
  3. Step 3: Cross multiply
    35,762.28x = 49,354.27 × 19,846.74
  4. Step 4: Simplify right side
    35,762.28x = 979,521,364.58
  5. Step 5: Solve for x
    x = 979,521,364.58/35,762.28
  6. Step 6: Final answer
    x = 27,389.79

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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.