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Finding the Fourth Proportional to 37,011.50, 51,075.88 and 20,244.50

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Solution

The fourth proportional to 37,011.50, 51,075.88 and 20,244.50 is: 27,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,011.50 : 51,075.88 = 20,244.50 : x
  2. Step 2: Convert to fraction form
    37,011.50/51,075.88 = 20,244.50/x
  3. Step 3: Cross multiply
    37,011.50x = 51,075.88 × 20,244.50
  4. Step 4: Simplify right side
    37,011.50x = 1,034,005,652.66
  5. Step 5: Solve for x
    x = 1,034,005,652.66/37,011.50
  6. Step 6: Final answer
    x = 27,937.42

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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.