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Finding the Fourth Proportional to 73,266, 101,107.14 and 39,732

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Solution

The fourth proportional to 73,266, 101,107.14 and 39,732 is: 54,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,266 : 101,107.14 = 39,732 : x
  2. Step 2: Convert to fraction form
    73,266/101,107.14 = 39,732/x
  3. Step 3: Cross multiply
    73,266x = 101,107.14 × 39,732
  4. Step 4: Simplify right side
    73,266x = 4,017,188,886.48
  5. Step 5: Solve for x
    x = 4,017,188,886.48/73,266
  6. Step 6: Final answer
    x = 54,830.19

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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.