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Finding the Fourth Proportional to 93,784.56, 129,418.20 and 51,342

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Solution

The fourth proportional to 93,784.56, 129,418.20 and 51,342 is: 70,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,784.56 : 129,418.20 = 51,342 : x
  2. Step 2: Convert to fraction form
    93,784.56/129,418.20 = 51,342/x
  3. Step 3: Cross multiply
    93,784.56x = 129,418.20 × 51,342
  4. Step 4: Simplify right side
    93,784.56x = 6,644,589,224.40
  5. Step 5: Solve for x
    x = 6,644,589,224.40/93,784.56
  6. Step 6: Final answer
    x = 70,849.50

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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.