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Finding the Fourth Proportional to 31,660.16, 47,490.33 and 12,940.20

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Solution

The fourth proportional to 31,660.16, 47,490.33 and 12,940.20 is: 19,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.16 : 47,490.33 = 12,940.20 : x
  2. Step 2: Convert to fraction form
    31,660.16/47,490.33 = 12,940.20/x
  3. Step 3: Cross multiply
    31,660.16x = 47,490.33 × 12,940.20
  4. Step 4: Simplify right side
    31,660.16x = 614,534,368.27
  5. Step 5: Solve for x
    x = 614,534,368.27/31,660.16
  6. Step 6: Final answer
    x = 19,410.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.