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Finding the Fourth Proportional to 37,156.50, 55,742.04 and 16,380

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Solution

The fourth proportional to 37,156.50, 55,742.04 and 16,380 is: 24,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156.50 : 55,742.04 = 16,380 : x
  2. Step 2: Convert to fraction form
    37,156.50/55,742.04 = 16,380/x
  3. Step 3: Cross multiply
    37,156.50x = 55,742.04 × 16,380
  4. Step 4: Simplify right side
    37,156.50x = 913,054,615.20
  5. Step 5: Solve for x
    x = 913,054,615.20/37,156.50
  6. Step 6: Final answer
    x = 24,573.21

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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.