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Finding the Fourth Proportional to 31,057.60, 46,572.08 and 9,993.76

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Solution

The fourth proportional to 31,057.60, 46,572.08 and 9,993.76 is: 14,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.60 : 46,572.08 = 9,993.76 : x
  2. Step 2: Convert to fraction form
    31,057.60/46,572.08 = 9,993.76/x
  3. Step 3: Cross multiply
    31,057.60x = 46,572.08 × 9,993.76
  4. Step 4: Simplify right side
    31,057.60x = 465,430,190.22
  5. Step 5: Solve for x
    x = 465,430,190.22/31,057.60
  6. Step 6: Final answer
    x = 14,986.03

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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.