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Finding the Fourth Proportional to 37,830.44, 52,150.01 and 24,216.50

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Solution

The fourth proportional to 37,830.44, 52,150.01 and 24,216.50 is: 33,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.44 : 52,150.01 = 24,216.50 : x
  2. Step 2: Convert to fraction form
    37,830.44/52,150.01 = 24,216.50/x
  3. Step 3: Cross multiply
    37,830.44x = 52,150.01 × 24,216.50
  4. Step 4: Simplify right side
    37,830.44x = 1,262,890,726.46
  5. Step 5: Solve for x
    x = 1,262,890,726.46/37,830.44
  6. Step 6: Final answer
    x = 33,382.92

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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.