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Finding the Fourth Proportional to 69,618, 96,072.96 and 39,810

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Solution

The fourth proportional to 69,618, 96,072.96 and 39,810 is: 54,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,618 : 96,072.96 = 39,810 : x
  2. Step 2: Convert to fraction form
    69,618/96,072.96 = 39,810/x
  3. Step 3: Cross multiply
    69,618x = 96,072.96 × 39,810
  4. Step 4: Simplify right side
    69,618x = 3,824,664,537.60
  5. Step 5: Solve for x
    x = 3,824,664,537.60/69,618
  6. Step 6: Final answer
    x = 54,937.87

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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.