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Finding the Fourth Proportional to 31,138, 42,970.45 and 19,960

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Solution

The fourth proportional to 31,138, 42,970.45 and 19,960 is: 27,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138 : 42,970.45 = 19,960 : x
  2. Step 2: Convert to fraction form
    31,138/42,970.45 = 19,960/x
  3. Step 3: Cross multiply
    31,138x = 42,970.45 × 19,960
  4. Step 4: Simplify right side
    31,138x = 857,690,182
  5. Step 5: Solve for x
    x = 857,690,182/31,138
  6. Step 6: Final answer
    x = 27,544.81

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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.