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Finding the Fourth Proportional to 31,605.98, 47,416.74 and 9,419.28

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Solution

The fourth proportional to 31,605.98, 47,416.74 and 9,419.28 is: 14,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.98 : 47,416.74 = 9,419.28 : x
  2. Step 2: Convert to fraction form
    31,605.98/47,416.74 = 9,419.28/x
  3. Step 3: Cross multiply
    31,605.98x = 47,416.74 × 9,419.28
  4. Step 4: Simplify right side
    31,605.98x = 446,631,550.75
  5. Step 5: Solve for x
    x = 446,631,550.75/31,605.98
  6. Step 6: Final answer
    x = 14,131.24

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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.