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Finding the Fourth Proportional to 31,606.65, 47,412.41 and 9,418.32

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Solution

The fourth proportional to 31,606.65, 47,412.41 and 9,418.32 is: 14,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.65 : 47,412.41 = 9,418.32 : x
  2. Step 2: Convert to fraction form
    31,606.65/47,412.41 = 9,418.32/x
  3. Step 3: Cross multiply
    31,606.65x = 47,412.41 × 9,418.32
  4. Step 4: Simplify right side
    31,606.65x = 446,545,202.26
  5. Step 5: Solve for x
    x = 446,545,202.26/31,606.65
  6. Step 6: Final answer
    x = 14,128.20

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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.