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Finding the Fourth Proportional to 37,848, 56,770.92 and 11,548.92

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Solution

The fourth proportional to 37,848, 56,770.92 and 11,548.92 is: 17,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,848 : 56,770.92 = 11,548.92 : x
  2. Step 2: Convert to fraction form
    37,848/56,770.92 = 11,548.92/x
  3. Step 3: Cross multiply
    37,848x = 56,770.92 × 11,548.92
  4. Step 4: Simplify right side
    37,848x = 655,642,813.41
  5. Step 5: Solve for x
    x = 655,642,813.41/37,848
  6. Step 6: Final answer
    x = 17,323.05

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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.