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Finding the Fourth Proportional to 34,772.16, 47,931.84 and 27,687.36

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Solution

The fourth proportional to 34,772.16, 47,931.84 and 27,687.36 is: 38,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772.16 : 47,931.84 = 27,687.36 : x
  2. Step 2: Convert to fraction form
    34,772.16/47,931.84 = 27,687.36/x
  3. Step 3: Cross multiply
    34,772.16x = 47,931.84 × 27,687.36
  4. Step 4: Simplify right side
    34,772.16x = 1,327,106,109.54
  5. Step 5: Solve for x
    x = 1,327,106,109.54/34,772.16
  6. Step 6: Final answer
    x = 38,165.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.