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Finding the Fourth Proportional to 37,200.77, 51,337.50 and 20,205.05

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Solution

The fourth proportional to 37,200.77, 51,337.50 and 20,205.05 is: 27,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,200.77 : 51,337.50 = 20,205.05 : x
  2. Step 2: Convert to fraction form
    37,200.77/51,337.50 = 20,205.05/x
  3. Step 3: Cross multiply
    37,200.77x = 51,337.50 × 20,205.05
  4. Step 4: Simplify right side
    37,200.77x = 1,037,276,421.92
  5. Step 5: Solve for x
    x = 1,037,276,421.92/37,200.77
  6. Step 6: Final answer
    x = 27,883.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.