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Finding the Fourth Proportional to 37,488.90, 56,232.81 and 9,786.90

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Solution

The fourth proportional to 37,488.90, 56,232.81 and 9,786.90 is: 14,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,488.90 : 56,232.81 = 9,786.90 : x
  2. Step 2: Convert to fraction form
    37,488.90/56,232.81 = 9,786.90/x
  3. Step 3: Cross multiply
    37,488.90x = 56,232.81 × 9,786.90
  4. Step 4: Simplify right side
    37,488.90x = 550,344,888.19
  5. Step 5: Solve for x
    x = 550,344,888.19/37,488.90
  6. Step 6: Final answer
    x = 14,680.21

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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.