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Finding the Fourth Proportional to 31,184.40, 43,030.64 and 17,755.68

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Solution

The fourth proportional to 31,184.40, 43,030.64 and 17,755.68 is: 24,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.40 : 43,030.64 = 17,755.68 : x
  2. Step 2: Convert to fraction form
    31,184.40/43,030.64 = 17,755.68/x
  3. Step 3: Cross multiply
    31,184.40x = 43,030.64 × 17,755.68
  4. Step 4: Simplify right side
    31,184.40x = 764,038,274.04
  5. Step 5: Solve for x
    x = 764,038,274.04/31,184.40
  6. Step 6: Final answer
    x = 24,500.66

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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.