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Finding the Fourth Proportional to 27,735, 41,577.12 and 10,191.48

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Solution

The fourth proportional to 27,735, 41,577.12 and 10,191.48 is: 15,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735 : 41,577.12 = 10,191.48 : x
  2. Step 2: Convert to fraction form
    27,735/41,577.12 = 10,191.48/x
  3. Step 3: Cross multiply
    27,735x = 41,577.12 × 10,191.48
  4. Step 4: Simplify right side
    27,735x = 423,732,386.94
  5. Step 5: Solve for x
    x = 423,732,386.94/27,735
  6. Step 6: Final answer
    x = 15,277.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.