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Finding the Fourth Proportional to 56,342.85, 77,728.29 and 33,670.50

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Solution

The fourth proportional to 56,342.85, 77,728.29 and 33,670.50 is: 46,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,342.85 : 77,728.29 = 33,670.50 : x
  2. Step 2: Convert to fraction form
    56,342.85/77,728.29 = 33,670.50/x
  3. Step 3: Cross multiply
    56,342.85x = 77,728.29 × 33,670.50
  4. Step 4: Simplify right side
    56,342.85x = 2,617,150,388.45
  5. Step 5: Solve for x
    x = 2,617,150,388.45/56,342.85
  6. Step 6: Final answer
    x = 46,450.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.