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Finding the Fourth Proportional to 31,137.49, 42,970.69 and 17,710.68

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Solution

The fourth proportional to 31,137.49, 42,970.69 and 17,710.68 is: 24,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.49 : 42,970.69 = 17,710.68 : x
  2. Step 2: Convert to fraction form
    31,137.49/42,970.69 = 17,710.68/x
  3. Step 3: Cross multiply
    31,137.49x = 42,970.69 × 17,710.68
  4. Step 4: Simplify right side
    31,137.49x = 761,040,139.97
  5. Step 5: Solve for x
    x = 761,040,139.97/31,137.49
  6. Step 6: Final answer
    x = 24,441.28

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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.