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Finding the Fourth Proportional to 27,591, 38,075.70 and 15,015.72

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Solution

The fourth proportional to 27,591, 38,075.70 and 15,015.72 is: 20,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591 : 38,075.70 = 15,015.72 : x
  2. Step 2: Convert to fraction form
    27,591/38,075.70 = 15,015.72/x
  3. Step 3: Cross multiply
    27,591x = 38,075.70 × 15,015.72
  4. Step 4: Simplify right side
    27,591x = 571,734,050.00
  5. Step 5: Solve for x
    x = 571,734,050.00/27,591
  6. Step 6: Final answer
    x = 20,721.76

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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.