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Finding the Fourth Proportional to 31,129, 42,958.02 and 19,951

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Solution

The fourth proportional to 31,129, 42,958.02 and 19,951 is: 27,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129 : 42,958.02 = 19,951 : x
  2. Step 2: Convert to fraction form
    31,129/42,958.02 = 19,951/x
  3. Step 3: Cross multiply
    31,129x = 42,958.02 × 19,951
  4. Step 4: Simplify right side
    31,129x = 857,055,457.02
  5. Step 5: Solve for x
    x = 857,055,457.02/31,129
  6. Step 6: Final answer
    x = 27,532.38

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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.