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Finding the Fourth Proportional to 37,328.83, 55,978.66 and 16,537.75

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Solution

The fourth proportional to 37,328.83, 55,978.66 and 16,537.75 is: 24,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328.83 : 55,978.66 = 16,537.75 : x
  2. Step 2: Convert to fraction form
    37,328.83/55,978.66 = 16,537.75/x
  3. Step 3: Cross multiply
    37,328.83x = 55,978.66 × 16,537.75
  4. Step 4: Simplify right side
    37,328.83x = 925,761,084.42
  5. Step 5: Solve for x
    x = 925,761,084.42/37,328.83
  6. Step 6: Final answer
    x = 24,800.16

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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.