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Finding the Fourth Proportional to 37,803, 56,692.44 and 12,497.82

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Solution

The fourth proportional to 37,803, 56,692.44 and 12,497.82 is: 18,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,803 : 56,692.44 = 12,497.82 : x
  2. Step 2: Convert to fraction form
    37,803/56,692.44 = 12,497.82/x
  3. Step 3: Cross multiply
    37,803x = 56,692.44 × 12,497.82
  4. Step 4: Simplify right side
    37,803x = 708,531,910.48
  5. Step 5: Solve for x
    x = 708,531,910.48/37,803
  6. Step 6: Final answer
    x = 18,742.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.