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Finding the Fourth Proportional to 55,415.64, 76,475.34 and 34,194.36

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Solution

The fourth proportional to 55,415.64, 76,475.34 and 34,194.36 is: 47,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,415.64 : 76,475.34 = 34,194.36 : x
  2. Step 2: Convert to fraction form
    55,415.64/76,475.34 = 34,194.36/x
  3. Step 3: Cross multiply
    55,415.64x = 76,475.34 × 34,194.36
  4. Step 4: Simplify right side
    55,415.64x = 2,615,025,307.08
  5. Step 5: Solve for x
    x = 2,615,025,307.08/55,415.64
  6. Step 6: Final answer
    x = 47,189.30

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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.