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Finding the Fourth Proportional to 27,009.72, 37,275.28 and 15,075.38

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Solution

The fourth proportional to 27,009.72, 37,275.28 and 15,075.38 is: 20,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.72 : 37,275.28 = 15,075.38 : x
  2. Step 2: Convert to fraction form
    27,009.72/37,275.28 = 15,075.38/x
  3. Step 3: Cross multiply
    27,009.72x = 37,275.28 × 15,075.38
  4. Step 4: Simplify right side
    27,009.72x = 561,939,010.61
  5. Step 5: Solve for x
    x = 561,939,010.61/27,009.72
  6. Step 6: Final answer
    x = 20,805.07

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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.