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Finding the Fourth Proportional to 37,488.42, 56,232.60 and 9,786.42

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Solution

The fourth proportional to 37,488.42, 56,232.60 and 9,786.42 is: 14,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,488.42 : 56,232.60 = 9,786.42 : x
  2. Step 2: Convert to fraction form
    37,488.42/56,232.60 = 9,786.42/x
  3. Step 3: Cross multiply
    37,488.42x = 56,232.60 × 9,786.42
  4. Step 4: Simplify right side
    37,488.42x = 550,315,841.29
  5. Step 5: Solve for x
    x = 550,315,841.29/37,488.42
  6. Step 6: Final answer
    x = 14,679.62

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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.