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Finding the Fourth Proportional to 38,075.44, 52,536.81 and 24,644.83

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Solution

The fourth proportional to 38,075.44, 52,536.81 and 24,644.83 is: 34,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075.44 : 52,536.81 = 24,644.83 : x
  2. Step 2: Convert to fraction form
    38,075.44/52,536.81 = 24,644.83/x
  3. Step 3: Cross multiply
    38,075.44x = 52,536.81 × 24,644.83
  4. Step 4: Simplify right side
    38,075.44x = 1,294,760,619.85
  5. Step 5: Solve for x
    x = 1,294,760,619.85/38,075.44
  6. Step 6: Final answer
    x = 34,005.14

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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.