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Finding the Fourth Proportional to 51,538.38, 71,106.80 and 28,874.30

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Solution

The fourth proportional to 51,538.38, 71,106.80 and 28,874.30 is: 39,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538.38 : 71,106.80 = 28,874.30 : x
  2. Step 2: Convert to fraction form
    51,538.38/71,106.80 = 28,874.30/x
  3. Step 3: Cross multiply
    51,538.38x = 71,106.80 × 28,874.30
  4. Step 4: Simplify right side
    51,538.38x = 2,053,159,075.24
  5. Step 5: Solve for x
    x = 2,053,159,075.24/51,538.38
  6. Step 6: Final answer
    x = 39,837.48

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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.