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Finding the Fourth Proportional to 70,045.68, 96,662.94 and 38,214.60

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Solution

The fourth proportional to 70,045.68, 96,662.94 and 38,214.60 is: 52,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,045.68 : 96,662.94 = 38,214.60 : x
  2. Step 2: Convert to fraction form
    70,045.68/96,662.94 = 38,214.60/x
  3. Step 3: Cross multiply
    70,045.68x = 96,662.94 × 38,214.60
  4. Step 4: Simplify right side
    70,045.68x = 3,693,935,586.92
  5. Step 5: Solve for x
    x = 3,693,935,586.92/70,045.68
  6. Step 6: Final answer
    x = 52,736.09

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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.