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Finding the Fourth Proportional to 51,908.68, 71,559.30 and 36,978.76

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Solution

The fourth proportional to 51,908.68, 71,559.30 and 36,978.76 is: 50,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908.68 : 71,559.30 = 36,978.76 : x
  2. Step 2: Convert to fraction form
    51,908.68/71,559.30 = 36,978.76/x
  3. Step 3: Cross multiply
    51,908.68x = 71,559.30 × 36,978.76
  4. Step 4: Simplify right side
    51,908.68x = 2,646,174,180.47
  5. Step 5: Solve for x
    x = 2,646,174,180.47/51,908.68
  6. Step 6: Final answer
    x = 50,977.49

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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.