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Finding the Fourth Proportional to 52,415.22, 72,321.72 and 31,190.34

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Solution

The fourth proportional to 52,415.22, 72,321.72 and 31,190.34 is: 43,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,415.22 : 72,321.72 = 31,190.34 : x
  2. Step 2: Convert to fraction form
    52,415.22/72,321.72 = 31,190.34/x
  3. Step 3: Cross multiply
    52,415.22x = 72,321.72 × 31,190.34
  4. Step 4: Simplify right side
    52,415.22x = 2,255,739,036.18
  5. Step 5: Solve for x
    x = 2,255,739,036.18/52,415.22
  6. Step 6: Final answer
    x = 43,035.95

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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.