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Finding the Fourth Proportional to 37,138.50, 55,710.18 and 16,362

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Solution

The fourth proportional to 37,138.50, 55,710.18 and 16,362 is: 24,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.50 : 55,710.18 = 16,362 : x
  2. Step 2: Convert to fraction form
    37,138.50/55,710.18 = 16,362/x
  3. Step 3: Cross multiply
    37,138.50x = 55,710.18 × 16,362
  4. Step 4: Simplify right side
    37,138.50x = 911,529,965.16
  5. Step 5: Solve for x
    x = 911,529,965.16/37,138.50
  6. Step 6: Final answer
    x = 24,544.07

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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.