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Finding the Fourth Proportional to 37,412.40, 56,021.40 and 24,193.20

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Solution

The fourth proportional to 37,412.40, 56,021.40 and 24,193.20 is: 36,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412.40 : 56,021.40 = 24,193.20 : x
  2. Step 2: Convert to fraction form
    37,412.40/56,021.40 = 24,193.20/x
  3. Step 3: Cross multiply
    37,412.40x = 56,021.40 × 24,193.20
  4. Step 4: Simplify right side
    37,412.40x = 1,355,336,934.48
  5. Step 5: Solve for x
    x = 1,355,336,934.48/37,412.40
  6. Step 6: Final answer
    x = 36,226.94

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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.