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Finding the Fourth Proportional to 34,094.10, 51,141.15 and 22,284.30

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Solution

The fourth proportional to 34,094.10, 51,141.15 and 22,284.30 is: 33,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,094.10 : 51,141.15 = 22,284.30 : x
  2. Step 2: Convert to fraction form
    34,094.10/51,141.15 = 22,284.30/x
  3. Step 3: Cross multiply
    34,094.10x = 51,141.15 × 22,284.30
  4. Step 4: Simplify right side
    34,094.10x = 1,139,644,728.95
  5. Step 5: Solve for x
    x = 1,139,644,728.95/34,094.10
  6. Step 6: Final answer
    x = 33,426.45

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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.