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Finding the Fourth Proportional to 56,978.30, 85,467.51 and 14,858.35

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Solution

The fourth proportional to 56,978.30, 85,467.51 and 14,858.35 is: 22,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.30 : 85,467.51 = 14,858.35 : x
  2. Step 2: Convert to fraction form
    56,978.30/85,467.51 = 14,858.35/x
  3. Step 3: Cross multiply
    56,978.30x = 85,467.51 × 14,858.35
  4. Step 4: Simplify right side
    56,978.30x = 1,269,906,177.21
  5. Step 5: Solve for x
    x = 1,269,906,177.21/56,978.30
  6. Step 6: Final answer
    x = 22,287.54

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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.