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Finding the Fourth Proportional to 31,137.95, 42,970.15 and 16,990.49

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Solution

The fourth proportional to 31,137.95, 42,970.15 and 16,990.49 is: 23,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.95 : 42,970.15 = 16,990.49 : x
  2. Step 2: Convert to fraction form
    31,137.95/42,970.15 = 16,990.49/x
  3. Step 3: Cross multiply
    31,137.95x = 42,970.15 × 16,990.49
  4. Step 4: Simplify right side
    31,137.95x = 730,083,903.87
  5. Step 5: Solve for x
    x = 730,083,903.87/31,137.95
  6. Step 6: Final answer
    x = 23,446.76

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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.