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Finding the Fourth Proportional to 37,237.86, 55,851.93 and 16,456.50

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Solution

The fourth proportional to 37,237.86, 55,851.93 and 16,456.50 is: 24,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,237.86 : 55,851.93 = 16,456.50 : x
  2. Step 2: Convert to fraction form
    37,237.86/55,851.93 = 16,456.50/x
  3. Step 3: Cross multiply
    37,237.86x = 55,851.93 × 16,456.50
  4. Step 4: Simplify right side
    37,237.86x = 919,127,286.05
  5. Step 5: Solve for x
    x = 919,127,286.05/37,237.86
  6. Step 6: Final answer
    x = 24,682.60

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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.