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Finding the Fourth Proportional to 34,312.38, 51,463.31 and 9,354.44

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Solution

The fourth proportional to 34,312.38, 51,463.31 and 9,354.44 is: 14,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312.38 : 51,463.31 = 9,354.44 : x
  2. Step 2: Convert to fraction form
    34,312.38/51,463.31 = 9,354.44/x
  3. Step 3: Cross multiply
    34,312.38x = 51,463.31 × 9,354.44
  4. Step 4: Simplify right side
    34,312.38x = 481,410,141.51
  5. Step 5: Solve for x
    x = 481,410,141.51/34,312.38
  6. Step 6: Final answer
    x = 14,030.22

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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.