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Finding the Fourth Proportional to 56,420.37, 77,832.55 and 47,464.60

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Solution

The fourth proportional to 56,420.37, 77,832.55 and 47,464.60 is: 65,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,420.37 : 77,832.55 = 47,464.60 : x
  2. Step 2: Convert to fraction form
    56,420.37/77,832.55 = 47,464.60/x
  3. Step 3: Cross multiply
    56,420.37x = 77,832.55 × 47,464.60
  4. Step 4: Simplify right side
    56,420.37x = 3,694,290,615.41
  5. Step 5: Solve for x
    x = 3,694,290,615.41/56,420.37
  6. Step 6: Final answer
    x = 65,477.96

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