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Finding the Fourth Proportional to 37,533.50, 56,300.25 and 14,154.47

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Solution

The fourth proportional to 37,533.50, 56,300.25 and 14,154.47 is: 21,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,533.50 : 56,300.25 = 14,154.47 : x
  2. Step 2: Convert to fraction form
    37,533.50/56,300.25 = 14,154.47/x
  3. Step 3: Cross multiply
    37,533.50x = 56,300.25 × 14,154.47
  4. Step 4: Simplify right side
    37,533.50x = 796,900,199.62
  5. Step 5: Solve for x
    x = 796,900,199.62/37,533.50
  6. Step 6: Final answer
    x = 21,231.71

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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.