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Finding the Fourth Proportional to 57,846.66, 86,782.74 and 24,595.21

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Solution

The fourth proportional to 57,846.66, 86,782.74 and 24,595.21 is: 36,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.66 : 86,782.74 = 24,595.21 : x
  2. Step 2: Convert to fraction form
    57,846.66/86,782.74 = 24,595.21/x
  3. Step 3: Cross multiply
    57,846.66x = 86,782.74 × 24,595.21
  4. Step 4: Simplify right side
    57,846.66x = 2,134,439,714.68
  5. Step 5: Solve for x
    x = 2,134,439,714.68/57,846.66
  6. Step 6: Final answer
    x = 36,898.24

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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.