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Finding the Fourth Proportional to 51,730.14, 71,387.64 and 29,374.14

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Solution

The fourth proportional to 51,730.14, 71,387.64 and 29,374.14 is: 40,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,730.14 : 71,387.64 = 29,374.14 : x
  2. Step 2: Convert to fraction form
    51,730.14/71,387.64 = 29,374.14/x
  3. Step 3: Cross multiply
    51,730.14x = 71,387.64 × 29,374.14
  4. Step 4: Simplify right side
    51,730.14x = 2,096,950,531.63
  5. Step 5: Solve for x
    x = 2,096,950,531.63/51,730.14
  6. Step 6: Final answer
    x = 40,536.34

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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.