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Finding the Fourth Proportional to 36,031.38, 49,708.99 and 24,075.78

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Solution

The fourth proportional to 36,031.38, 49,708.99 and 24,075.78 is: 33,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031.38 : 49,708.99 = 24,075.78 : x
  2. Step 2: Convert to fraction form
    36,031.38/49,708.99 = 24,075.78/x
  3. Step 3: Cross multiply
    36,031.38x = 49,708.99 × 24,075.78
  4. Step 4: Simplify right side
    36,031.38x = 1,196,782,707.26
  5. Step 5: Solve for x
    x = 1,196,782,707.26/36,031.38
  6. Step 6: Final answer
    x = 33,215.01

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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.