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Finding the Fourth Proportional to 31,430.28, 43,374.90 and 17,284.20

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Solution

The fourth proportional to 31,430.28, 43,374.90 and 17,284.20 is: 23,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.28 : 43,374.90 = 17,284.20 : x
  2. Step 2: Convert to fraction form
    31,430.28/43,374.90 = 17,284.20/x
  3. Step 3: Cross multiply
    31,430.28x = 43,374.90 × 17,284.20
  4. Step 4: Simplify right side
    31,430.28x = 749,700,446.58
  5. Step 5: Solve for x
    x = 749,700,446.58/31,430.28
  6. Step 6: Final answer
    x = 23,852.81

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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.