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Finding the Fourth Proportional to 31,133, 42,963.54 and 19,955

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Solution

The fourth proportional to 31,133, 42,963.54 and 19,955 is: 27,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133 : 42,963.54 = 19,955 : x
  2. Step 2: Convert to fraction form
    31,133/42,963.54 = 19,955/x
  3. Step 3: Cross multiply
    31,133x = 42,963.54 × 19,955
  4. Step 4: Simplify right side
    31,133x = 857,337,440.70
  5. Step 5: Solve for x
    x = 857,337,440.70/31,133
  6. Step 6: Final answer
    x = 27,537.90

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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.