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Finding the Fourth Proportional to 37,846.65, 56,776.90 and 15,648

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Solution

The fourth proportional to 37,846.65, 56,776.90 and 15,648 is: 23,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.65 : 56,776.90 = 15,648 : x
  2. Step 2: Convert to fraction form
    37,846.65/56,776.90 = 15,648/x
  3. Step 3: Cross multiply
    37,846.65x = 56,776.90 × 15,648
  4. Step 4: Simplify right side
    37,846.65x = 888,444,931.20
  5. Step 5: Solve for x
    x = 888,444,931.20/37,846.65
  6. Step 6: Final answer
    x = 23,474.86

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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.