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Finding the Fourth Proportional to 93,834, 129,490.92 and 51,394.05

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Solution

The fourth proportional to 93,834, 129,490.92 and 51,394.05 is: 70,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,834 : 129,490.92 = 51,394.05 : x
  2. Step 2: Convert to fraction form
    93,834/129,490.92 = 51,394.05/x
  3. Step 3: Cross multiply
    93,834x = 129,490.92 × 51,394.05
  4. Step 4: Simplify right side
    93,834x = 6,655,062,817.03
  5. Step 5: Solve for x
    x = 6,655,062,817.03/93,834
  6. Step 6: Final answer
    x = 70,923.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.