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Finding the Fourth Proportional to 34,116.80, 51,102.30 and 28,284.80

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Solution

The fourth proportional to 34,116.80, 51,102.30 and 28,284.80 is: 42,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116.80 : 51,102.30 = 28,284.80 : x
  2. Step 2: Convert to fraction form
    34,116.80/51,102.30 = 28,284.80/x
  3. Step 3: Cross multiply
    34,116.80x = 51,102.30 × 28,284.80
  4. Step 4: Simplify right side
    34,116.80x = 1,445,418,335.04
  5. Step 5: Solve for x
    x = 1,445,418,335.04/34,116.80
  6. Step 6: Final answer
    x = 42,366.76

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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.