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Finding the Fourth Proportional to 101,995.84, 153,011.52 and 31,857.28

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Solution

The fourth proportional to 101,995.84, 153,011.52 and 31,857.28 is: 47,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,995.84 : 153,011.52 = 31,857.28 : x
  2. Step 2: Convert to fraction form
    101,995.84/153,011.52 = 31,857.28/x
  3. Step 3: Cross multiply
    101,995.84x = 153,011.52 × 31,857.28
  4. Step 4: Simplify right side
    101,995.84x = 4,874,530,835.87
  5. Step 5: Solve for x
    x = 4,874,530,835.87/101,995.84
  6. Step 6: Final answer
    x = 47,791.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.