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Finding the Fourth Proportional to 37,534.50, 51,799.23 and 20,767.50

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Solution

The fourth proportional to 37,534.50, 51,799.23 and 20,767.50 is: 28,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,534.50 : 51,799.23 = 20,767.50 : x
  2. Step 2: Convert to fraction form
    37,534.50/51,799.23 = 20,767.50/x
  3. Step 3: Cross multiply
    37,534.50x = 51,799.23 × 20,767.50
  4. Step 4: Simplify right side
    37,534.50x = 1,075,740,509.03
  5. Step 5: Solve for x
    x = 1,075,740,509.03/37,534.50
  6. Step 6: Final answer
    x = 28,660.05

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1.5x scale

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.