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Finding the Fourth Proportional to 31,130.58, 42,960.16 and 16,983.42

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Solution

The fourth proportional to 31,130.58, 42,960.16 and 16,983.42 is: 23,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.58 : 42,960.16 = 16,983.42 : x
  2. Step 2: Convert to fraction form
    31,130.58/42,960.16 = 16,983.42/x
  3. Step 3: Cross multiply
    31,130.58x = 42,960.16 × 16,983.42
  4. Step 4: Simplify right side
    31,130.58x = 729,610,446.80
  5. Step 5: Solve for x
    x = 729,610,446.80/31,130.58
  6. Step 6: Final answer
    x = 23,437.10

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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.